A novel two-step pseudo-response based adaptive harmonic balance method for dynamic analysis of nonlinear structures

Harmonic balance method (HBM) is one of the most popular and powerful methods, which is used to obtain response of nonlinear vibratory systems in frequency domain. The main idea of the method is to express the response of the system in Fourier series and converting the nonlinear differential equatio...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Sert, Onur [verfasserIn] Cigeroglu, Ender [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2019

Schlagwörter:	Adaptive harmonic balance method Harmonic selection Pseudo-response Nonlinear vibrations Multi-harmonic balance method

Übergeordnetes Werk:	Enthalten in: Mechanical systems and signal processing - Amsterdam [u.a.] : Elsevier, 1987, 130, Seite 610-631
Übergeordnetes Werk:	volume:130 ; pages:610-631

DOI / URN:	10.1016/j.ymssp.2019.05.028

Katalog-ID:	ELV002492679

Internformat


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245	1	0	\|a A novel two-step pseudo-response based adaptive harmonic balance method for dynamic analysis of nonlinear structures
264		1	\|c 2019
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520			\|a Harmonic balance method (HBM) is one of the most popular and powerful methods, which is used to obtain response of nonlinear vibratory systems in frequency domain. The main idea of the method is to express the response of the system in Fourier series and converting the nonlinear differential equations of motion into a set of nonlinear algebraic equations. System response can be obtained by solving this nonlinear equation set in terms of the unknown Fourier coefficients. The accuracy of the solution is greatly affected by the number of harmonics included in the method and it is enhanced as the number of harmonics increases at the expense of computational time; hence, advantage of HBM over time integration method is lost. Therefore, it is desirable to use an adaptive algorithm where the number of harmonics can be optimized in terms of both accuracy and computational effort. In this paper a new adaptive harmonic balance method (AHBM) for the dynamic analysis of nonlinear structures is developed. The new method employs a two-step harmonic selection procedure where the criteria used are based on simple magnitude comparisons that make it easy to understand and program the method. A novel pseudo-response calculation method, which is used at the second harmonic selection step, is developed in order to estimate the response of the nonlinear system with, approximately, no additional computational cost. Due to the two-step harmonic selection procedure, the method eliminates unnecessary harmonics in the response calculation; hence, it is capable of increasing the computational efficiency of HBM significantly. Several case studies are given in order to show the applicability of the proposed adaptive harmonic balance method.
650		4	\|a Adaptive harmonic balance method
650		4	\|a Harmonic selection
650		4	\|a Pseudo-response
650		4	\|a Nonlinear vibrations
650		4	\|a Multi-harmonic balance method
700	1		\|a Cigeroglu, Ender \|e verfasserin \|4 aut
773	0	8	\|i Enthalten in \|t Mechanical systems and signal processing \|d Amsterdam [u.a.] : Elsevier, 1987 \|g 130, Seite 610-631 \|h Online-Ressource \|w (DE-627)267838670 \|w (DE-600)1471003-1 \|w (DE-576)253127629 \|x 1096-1216 \|7 nnns
773	1	8	\|g volume:130 \|g pages:610-631
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912			\|a GBV_ILN_32
912			\|a GBV_ILN_40
912			\|a GBV_ILN_60
912			\|a GBV_ILN_62
912			\|a GBV_ILN_63
912			\|a GBV_ILN_65
912			\|a GBV_ILN_69
912			\|a GBV_ILN_70
912			\|a GBV_ILN_73
912			\|a GBV_ILN_74
912			\|a GBV_ILN_90
912			\|a GBV_ILN_95
912			\|a GBV_ILN_100
912			\|a GBV_ILN_101
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_224
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2003
912			\|a GBV_ILN_2004
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912			\|a GBV_ILN_2010
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912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
912			\|a GBV_ILN_2027
912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2038
912			\|a GBV_ILN_2044
912			\|a GBV_ILN_2048
912			\|a GBV_ILN_2049
912			\|a GBV_ILN_2050
912			\|a GBV_ILN_2056
912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
912			\|a GBV_ILN_2065
912			\|a GBV_ILN_2068
912			\|a GBV_ILN_2088
912			\|a GBV_ILN_2111
912			\|a GBV_ILN_2112
912			\|a GBV_ILN_2113
912			\|a GBV_ILN_2118
912			\|a GBV_ILN_2122
912			\|a GBV_ILN_2129
912			\|a GBV_ILN_2143
912			\|a GBV_ILN_2147
912			\|a GBV_ILN_2148
912			\|a GBV_ILN_2152
912			\|a GBV_ILN_2153
912			\|a GBV_ILN_2190
912			\|a GBV_ILN_2336
912			\|a GBV_ILN_2470
912			\|a GBV_ILN_2507
912			\|a GBV_ILN_2522
912			\|a GBV_ILN_4035
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4112
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912			\|a GBV_ILN_4313
912			\|a GBV_ILN_4322
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912			\|a GBV_ILN_4324
912			\|a GBV_ILN_4326
912			\|a GBV_ILN_4333
912			\|a GBV_ILN_4334
912			\|a GBV_ILN_4335
912			\|a GBV_ILN_4338
912			\|a GBV_ILN_4393
936	b	k	\|a 50.32 \|j Dynamik \|j Schwingungslehre \|x Technische Mechanik
936	b	k	\|a 50.16 \|j Technische Zuverlässigkeit \|j Instandhaltung
951			\|a AR
952			\|d 130 \|h 610-631

Indexfelder

author_variant	o s os e c ec
matchkey_str	article:10961216:2019----::nvlwsepedrsosbsddpieamncaacmtofryaiaa
hierarchy_sort_str	2019
bklnumber	50.32 50.16
publishDate	2019
allfields	10.1016/j.ymssp.2019.05.028 doi (DE-627)ELV002492679 (ELSEVIER)S0888-3270(19)30337-1 DE-627 ger DE-627 rda eng 004 DE-600 50.32 bkl 50.16 bkl Sert, Onur verfasserin aut A novel two-step pseudo-response based adaptive harmonic balance method for dynamic analysis of nonlinear structures 2019 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Harmonic balance method (HBM) is one of the most popular and powerful methods, which is used to obtain response of nonlinear vibratory systems in frequency domain. The main idea of the method is to express the response of the system in Fourier series and converting the nonlinear differential equations of motion into a set of nonlinear algebraic equations. System response can be obtained by solving this nonlinear equation set in terms of the unknown Fourier coefficients. The accuracy of the solution is greatly affected by the number of harmonics included in the method and it is enhanced as the number of harmonics increases at the expense of computational time; hence, advantage of HBM over time integration method is lost. Therefore, it is desirable to use an adaptive algorithm where the number of harmonics can be optimized in terms of both accuracy and computational effort. In this paper a new adaptive harmonic balance method (AHBM) for the dynamic analysis of nonlinear structures is developed. The new method employs a two-step harmonic selection procedure where the criteria used are based on simple magnitude comparisons that make it easy to understand and program the method. A novel pseudo-response calculation method, which is used at the second harmonic selection step, is developed in order to estimate the response of the nonlinear system with, approximately, no additional computational cost. Due to the two-step harmonic selection procedure, the method eliminates unnecessary harmonics in the response calculation; hence, it is capable of increasing the computational efficiency of HBM significantly. Several case studies are given in order to show the applicability of the proposed adaptive harmonic balance method. Adaptive harmonic balance method Harmonic selection Pseudo-response Nonlinear vibrations Multi-harmonic balance method Cigeroglu, Ender verfasserin aut Enthalten in Mechanical systems and signal processing Amsterdam [u.a.] : Elsevier, 1987 130, Seite 610-631 Online-Ressource (DE-627)267838670 (DE-600)1471003-1 (DE-576)253127629 1096-1216 nnns volume:130 pages:610-631 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 50.32 Dynamik Schwingungslehre Technische Mechanik 50.16 Technische Zuverlässigkeit Instandhaltung AR 130 610-631
spelling	10.1016/j.ymssp.2019.05.028 doi (DE-627)ELV002492679 (ELSEVIER)S0888-3270(19)30337-1 DE-627 ger DE-627 rda eng 004 DE-600 50.32 bkl 50.16 bkl Sert, Onur verfasserin aut A novel two-step pseudo-response based adaptive harmonic balance method for dynamic analysis of nonlinear structures 2019 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Harmonic balance method (HBM) is one of the most popular and powerful methods, which is used to obtain response of nonlinear vibratory systems in frequency domain. The main idea of the method is to express the response of the system in Fourier series and converting the nonlinear differential equations of motion into a set of nonlinear algebraic equations. System response can be obtained by solving this nonlinear equation set in terms of the unknown Fourier coefficients. The accuracy of the solution is greatly affected by the number of harmonics included in the method and it is enhanced as the number of harmonics increases at the expense of computational time; hence, advantage of HBM over time integration method is lost. Therefore, it is desirable to use an adaptive algorithm where the number of harmonics can be optimized in terms of both accuracy and computational effort. In this paper a new adaptive harmonic balance method (AHBM) for the dynamic analysis of nonlinear structures is developed. The new method employs a two-step harmonic selection procedure where the criteria used are based on simple magnitude comparisons that make it easy to understand and program the method. A novel pseudo-response calculation method, which is used at the second harmonic selection step, is developed in order to estimate the response of the nonlinear system with, approximately, no additional computational cost. Due to the two-step harmonic selection procedure, the method eliminates unnecessary harmonics in the response calculation; hence, it is capable of increasing the computational efficiency of HBM significantly. Several case studies are given in order to show the applicability of the proposed adaptive harmonic balance method. Adaptive harmonic balance method Harmonic selection Pseudo-response Nonlinear vibrations Multi-harmonic balance method Cigeroglu, Ender verfasserin aut Enthalten in Mechanical systems and signal processing Amsterdam [u.a.] : Elsevier, 1987 130, Seite 610-631 Online-Ressource (DE-627)267838670 (DE-600)1471003-1 (DE-576)253127629 1096-1216 nnns volume:130 pages:610-631 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 50.32 Dynamik Schwingungslehre Technische Mechanik 50.16 Technische Zuverlässigkeit Instandhaltung AR 130 610-631
allfields_unstemmed	10.1016/j.ymssp.2019.05.028 doi (DE-627)ELV002492679 (ELSEVIER)S0888-3270(19)30337-1 DE-627 ger DE-627 rda eng 004 DE-600 50.32 bkl 50.16 bkl Sert, Onur verfasserin aut A novel two-step pseudo-response based adaptive harmonic balance method for dynamic analysis of nonlinear structures 2019 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Harmonic balance method (HBM) is one of the most popular and powerful methods, which is used to obtain response of nonlinear vibratory systems in frequency domain. The main idea of the method is to express the response of the system in Fourier series and converting the nonlinear differential equations of motion into a set of nonlinear algebraic equations. System response can be obtained by solving this nonlinear equation set in terms of the unknown Fourier coefficients. The accuracy of the solution is greatly affected by the number of harmonics included in the method and it is enhanced as the number of harmonics increases at the expense of computational time; hence, advantage of HBM over time integration method is lost. Therefore, it is desirable to use an adaptive algorithm where the number of harmonics can be optimized in terms of both accuracy and computational effort. In this paper a new adaptive harmonic balance method (AHBM) for the dynamic analysis of nonlinear structures is developed. The new method employs a two-step harmonic selection procedure where the criteria used are based on simple magnitude comparisons that make it easy to understand and program the method. A novel pseudo-response calculation method, which is used at the second harmonic selection step, is developed in order to estimate the response of the nonlinear system with, approximately, no additional computational cost. Due to the two-step harmonic selection procedure, the method eliminates unnecessary harmonics in the response calculation; hence, it is capable of increasing the computational efficiency of HBM significantly. Several case studies are given in order to show the applicability of the proposed adaptive harmonic balance method. Adaptive harmonic balance method Harmonic selection Pseudo-response Nonlinear vibrations Multi-harmonic balance method Cigeroglu, Ender verfasserin aut Enthalten in Mechanical systems and signal processing Amsterdam [u.a.] : Elsevier, 1987 130, Seite 610-631 Online-Ressource (DE-627)267838670 (DE-600)1471003-1 (DE-576)253127629 1096-1216 nnns volume:130 pages:610-631 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 50.32 Dynamik Schwingungslehre Technische Mechanik 50.16 Technische Zuverlässigkeit Instandhaltung AR 130 610-631
allfieldsGer	10.1016/j.ymssp.2019.05.028 doi (DE-627)ELV002492679 (ELSEVIER)S0888-3270(19)30337-1 DE-627 ger DE-627 rda eng 004 DE-600 50.32 bkl 50.16 bkl Sert, Onur verfasserin aut A novel two-step pseudo-response based adaptive harmonic balance method for dynamic analysis of nonlinear structures 2019 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Harmonic balance method (HBM) is one of the most popular and powerful methods, which is used to obtain response of nonlinear vibratory systems in frequency domain. The main idea of the method is to express the response of the system in Fourier series and converting the nonlinear differential equations of motion into a set of nonlinear algebraic equations. System response can be obtained by solving this nonlinear equation set in terms of the unknown Fourier coefficients. The accuracy of the solution is greatly affected by the number of harmonics included in the method and it is enhanced as the number of harmonics increases at the expense of computational time; hence, advantage of HBM over time integration method is lost. Therefore, it is desirable to use an adaptive algorithm where the number of harmonics can be optimized in terms of both accuracy and computational effort. In this paper a new adaptive harmonic balance method (AHBM) for the dynamic analysis of nonlinear structures is developed. The new method employs a two-step harmonic selection procedure where the criteria used are based on simple magnitude comparisons that make it easy to understand and program the method. A novel pseudo-response calculation method, which is used at the second harmonic selection step, is developed in order to estimate the response of the nonlinear system with, approximately, no additional computational cost. Due to the two-step harmonic selection procedure, the method eliminates unnecessary harmonics in the response calculation; hence, it is capable of increasing the computational efficiency of HBM significantly. Several case studies are given in order to show the applicability of the proposed adaptive harmonic balance method. Adaptive harmonic balance method Harmonic selection Pseudo-response Nonlinear vibrations Multi-harmonic balance method Cigeroglu, Ender verfasserin aut Enthalten in Mechanical systems and signal processing Amsterdam [u.a.] : Elsevier, 1987 130, Seite 610-631 Online-Ressource (DE-627)267838670 (DE-600)1471003-1 (DE-576)253127629 1096-1216 nnns volume:130 pages:610-631 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 50.32 Dynamik Schwingungslehre Technische Mechanik 50.16 Technische Zuverlässigkeit Instandhaltung AR 130 610-631
allfieldsSound	10.1016/j.ymssp.2019.05.028 doi (DE-627)ELV002492679 (ELSEVIER)S0888-3270(19)30337-1 DE-627 ger DE-627 rda eng 004 DE-600 50.32 bkl 50.16 bkl Sert, Onur verfasserin aut A novel two-step pseudo-response based adaptive harmonic balance method for dynamic analysis of nonlinear structures 2019 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Harmonic balance method (HBM) is one of the most popular and powerful methods, which is used to obtain response of nonlinear vibratory systems in frequency domain. The main idea of the method is to express the response of the system in Fourier series and converting the nonlinear differential equations of motion into a set of nonlinear algebraic equations. System response can be obtained by solving this nonlinear equation set in terms of the unknown Fourier coefficients. The accuracy of the solution is greatly affected by the number of harmonics included in the method and it is enhanced as the number of harmonics increases at the expense of computational time; hence, advantage of HBM over time integration method is lost. Therefore, it is desirable to use an adaptive algorithm where the number of harmonics can be optimized in terms of both accuracy and computational effort. In this paper a new adaptive harmonic balance method (AHBM) for the dynamic analysis of nonlinear structures is developed. The new method employs a two-step harmonic selection procedure where the criteria used are based on simple magnitude comparisons that make it easy to understand and program the method. A novel pseudo-response calculation method, which is used at the second harmonic selection step, is developed in order to estimate the response of the nonlinear system with, approximately, no additional computational cost. Due to the two-step harmonic selection procedure, the method eliminates unnecessary harmonics in the response calculation; hence, it is capable of increasing the computational efficiency of HBM significantly. Several case studies are given in order to show the applicability of the proposed adaptive harmonic balance method. Adaptive harmonic balance method Harmonic selection Pseudo-response Nonlinear vibrations Multi-harmonic balance method Cigeroglu, Ender verfasserin aut Enthalten in Mechanical systems and signal processing Amsterdam [u.a.] : Elsevier, 1987 130, Seite 610-631 Online-Ressource (DE-627)267838670 (DE-600)1471003-1 (DE-576)253127629 1096-1216 nnns volume:130 pages:610-631 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 50.32 Dynamik Schwingungslehre Technische Mechanik 50.16 Technische Zuverlässigkeit Instandhaltung AR 130 610-631
language	English
source	Enthalten in Mechanical systems and signal processing 130, Seite 610-631 volume:130 pages:610-631
sourceStr	Enthalten in Mechanical systems and signal processing 130, Seite 610-631 volume:130 pages:610-631
format_phy_str_mv	Article
bklname	Dynamik Schwingungslehre Technische Zuverlässigkeit Instandhaltung
institution	findex.gbv.de
topic_facet	Adaptive harmonic balance method Harmonic selection Pseudo-response Nonlinear vibrations Multi-harmonic balance method
dewey-raw	004
isfreeaccess_bool	false
container_title	Mechanical systems and signal processing
authorswithroles_txt_mv	Sert, Onur @@aut@@ Cigeroglu, Ender @@aut@@
publishDateDaySort_date	2019-01-01T00:00:00Z
hierarchy_top_id	267838670
dewey-sort	14
id	ELV002492679
language_de	englisch
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The new method employs a two-step harmonic selection procedure where the criteria used are based on simple magnitude comparisons that make it easy to understand and program the method. A novel pseudo-response calculation method, which is used at the second harmonic selection step, is developed in order to estimate the response of the nonlinear system with, approximately, no additional computational cost. Due to the two-step harmonic selection procedure, the method eliminates unnecessary harmonics in the response calculation; hence, it is capable of increasing the computational efficiency of HBM significantly. 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author	Sert, Onur
spellingShingle	Sert, Onur ddc 004 bkl 50.32 bkl 50.16 misc Adaptive harmonic balance method misc Harmonic selection misc Pseudo-response misc Nonlinear vibrations misc Multi-harmonic balance method A novel two-step pseudo-response based adaptive harmonic balance method for dynamic analysis of nonlinear structures
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topic_title	004 DE-600 50.32 bkl 50.16 bkl A novel two-step pseudo-response based adaptive harmonic balance method for dynamic analysis of nonlinear structures Adaptive harmonic balance method Harmonic selection Pseudo-response Nonlinear vibrations Multi-harmonic balance method
topic	ddc 004 bkl 50.32 bkl 50.16 misc Adaptive harmonic balance method misc Harmonic selection misc Pseudo-response misc Nonlinear vibrations misc Multi-harmonic balance method
topic_unstemmed	ddc 004 bkl 50.32 bkl 50.16 misc Adaptive harmonic balance method misc Harmonic selection misc Pseudo-response misc Nonlinear vibrations misc Multi-harmonic balance method
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title	A novel two-step pseudo-response based adaptive harmonic balance method for dynamic analysis of nonlinear structures
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title_full	A novel two-step pseudo-response based adaptive harmonic balance method for dynamic analysis of nonlinear structures
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title_sort	a novel two-step pseudo-response based adaptive harmonic balance method for dynamic analysis of nonlinear structures
title_auth	A novel two-step pseudo-response based adaptive harmonic balance method for dynamic analysis of nonlinear structures
abstract	Harmonic balance method (HBM) is one of the most popular and powerful methods, which is used to obtain response of nonlinear vibratory systems in frequency domain. The main idea of the method is to express the response of the system in Fourier series and converting the nonlinear differential equations of motion into a set of nonlinear algebraic equations. System response can be obtained by solving this nonlinear equation set in terms of the unknown Fourier coefficients. The accuracy of the solution is greatly affected by the number of harmonics included in the method and it is enhanced as the number of harmonics increases at the expense of computational time; hence, advantage of HBM over time integration method is lost. Therefore, it is desirable to use an adaptive algorithm where the number of harmonics can be optimized in terms of both accuracy and computational effort. In this paper a new adaptive harmonic balance method (AHBM) for the dynamic analysis of nonlinear structures is developed. The new method employs a two-step harmonic selection procedure where the criteria used are based on simple magnitude comparisons that make it easy to understand and program the method. A novel pseudo-response calculation method, which is used at the second harmonic selection step, is developed in order to estimate the response of the nonlinear system with, approximately, no additional computational cost. Due to the two-step harmonic selection procedure, the method eliminates unnecessary harmonics in the response calculation; hence, it is capable of increasing the computational efficiency of HBM significantly. Several case studies are given in order to show the applicability of the proposed adaptive harmonic balance method.
abstractGer	Harmonic balance method (HBM) is one of the most popular and powerful methods, which is used to obtain response of nonlinear vibratory systems in frequency domain. The main idea of the method is to express the response of the system in Fourier series and converting the nonlinear differential equations of motion into a set of nonlinear algebraic equations. System response can be obtained by solving this nonlinear equation set in terms of the unknown Fourier coefficients. The accuracy of the solution is greatly affected by the number of harmonics included in the method and it is enhanced as the number of harmonics increases at the expense of computational time; hence, advantage of HBM over time integration method is lost. Therefore, it is desirable to use an adaptive algorithm where the number of harmonics can be optimized in terms of both accuracy and computational effort. In this paper a new adaptive harmonic balance method (AHBM) for the dynamic analysis of nonlinear structures is developed. The new method employs a two-step harmonic selection procedure where the criteria used are based on simple magnitude comparisons that make it easy to understand and program the method. A novel pseudo-response calculation method, which is used at the second harmonic selection step, is developed in order to estimate the response of the nonlinear system with, approximately, no additional computational cost. Due to the two-step harmonic selection procedure, the method eliminates unnecessary harmonics in the response calculation; hence, it is capable of increasing the computational efficiency of HBM significantly. Several case studies are given in order to show the applicability of the proposed adaptive harmonic balance method.
abstract_unstemmed	Harmonic balance method (HBM) is one of the most popular and powerful methods, which is used to obtain response of nonlinear vibratory systems in frequency domain. The main idea of the method is to express the response of the system in Fourier series and converting the nonlinear differential equations of motion into a set of nonlinear algebraic equations. System response can be obtained by solving this nonlinear equation set in terms of the unknown Fourier coefficients. The accuracy of the solution is greatly affected by the number of harmonics included in the method and it is enhanced as the number of harmonics increases at the expense of computational time; hence, advantage of HBM over time integration method is lost. Therefore, it is desirable to use an adaptive algorithm where the number of harmonics can be optimized in terms of both accuracy and computational effort. In this paper a new adaptive harmonic balance method (AHBM) for the dynamic analysis of nonlinear structures is developed. The new method employs a two-step harmonic selection procedure where the criteria used are based on simple magnitude comparisons that make it easy to understand and program the method. A novel pseudo-response calculation method, which is used at the second harmonic selection step, is developed in order to estimate the response of the nonlinear system with, approximately, no additional computational cost. Due to the two-step harmonic selection procedure, the method eliminates unnecessary harmonics in the response calculation; hence, it is capable of increasing the computational efficiency of HBM significantly. Several case studies are given in order to show the applicability of the proposed adaptive harmonic balance method.
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title_short	A novel two-step pseudo-response based adaptive harmonic balance method for dynamic analysis of nonlinear structures
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up_date	2024-07-07T00:54:33.241Z
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A novel two-step pseudo-response based adaptive harmonic balance method for dynamic analysis of nonlinear structures

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