Nonlinear substructuring in the modal domain: numerical validation and experimental verification in presence of localized nonlinearities
Abstract In many systems of interest, most of the structure is well approximated as linear but some parts must be treated as nonlinear to get accurate response predictions: significant nonlinear effects are due to the connections between coupled subsystems, such as in automotive or aerospace structu...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Latini, Francesco [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s) 2021 |
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| Übergeordnetes Werk: |
Enthalten in: Nonlinear dynamics - Springer Netherlands, 1990, 104(2021), 2 vom: Apr., Seite 1043-1067 |
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| Übergeordnetes Werk: |
volume:104 ; year:2021 ; number:2 ; month:04 ; pages:1043-1067 |
| Links: |
|---|
| DOI / URN: |
10.1007/s11071-021-06363-w |
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OLC2125245663 |
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| 520 | |a Abstract In many systems of interest, most of the structure is well approximated as linear but some parts must be treated as nonlinear to get accurate response predictions: significant nonlinear effects are due to the connections between coupled subsystems, such as in automotive or aerospace structures. The present work aims at predicting the nonlinear behavior of coupled systems using a substructuring technique in the modal domain. This study focuses on the effects of nonlinear connections on the dynamics of an assembly in which the coupled subsystems can be considered as linear. Each connection is instead considered as a quasi-linear substructure with stiffness that is function of amplitude or energy. The iterative procedure used here is enhanced with respect to previous works by enforcing a better control of the total energy at each iteration allowing to obtain the solution for a prescribed set of energy levels. Also, the initial guess and the convergence criterion have been modified to speed up the procedure. This technique is applied to a system made of two continuous linear subsystems coupled by nonlinear connections. The numerical results of the coupling are first compared to the ones obtained by using the Harmonic Balance technique on the model of the complete assembly to evaluate its effectiveness and understand the effects of modal truncation. Besides, a nonlinear connecting element, specifically designed in order to have a nearly cubic hardening behavior, is used in an experimental setup. Substructuring results are compared to experimental results measured on the assembled system, in order to evaluate the correlation between mode shapes and the accuracy in the resonance frequency at several excitation levels. | ||
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10.1007/s11071-021-06363-w doi (DE-627)OLC2125245663 (DE-He213)s11071-021-06363-w-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Latini, Francesco verfasserin aut Nonlinear substructuring in the modal domain: numerical validation and experimental verification in presence of localized nonlinearities 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2021 Abstract In many systems of interest, most of the structure is well approximated as linear but some parts must be treated as nonlinear to get accurate response predictions: significant nonlinear effects are due to the connections between coupled subsystems, such as in automotive or aerospace structures. The present work aims at predicting the nonlinear behavior of coupled systems using a substructuring technique in the modal domain. This study focuses on the effects of nonlinear connections on the dynamics of an assembly in which the coupled subsystems can be considered as linear. Each connection is instead considered as a quasi-linear substructure with stiffness that is function of amplitude or energy. The iterative procedure used here is enhanced with respect to previous works by enforcing a better control of the total energy at each iteration allowing to obtain the solution for a prescribed set of energy levels. Also, the initial guess and the convergence criterion have been modified to speed up the procedure. This technique is applied to a system made of two continuous linear subsystems coupled by nonlinear connections. The numerical results of the coupling are first compared to the ones obtained by using the Harmonic Balance technique on the model of the complete assembly to evaluate its effectiveness and understand the effects of modal truncation. Besides, a nonlinear connecting element, specifically designed in order to have a nearly cubic hardening behavior, is used in an experimental setup. Substructuring results are compared to experimental results measured on the assembled system, in order to evaluate the correlation between mode shapes and the accuracy in the resonance frequency at several excitation levels. Substructuring coupling Nonlinear connection Nonlinear normal modes Continuous systems Experimental comparison Brunetti, Jacopo aut D’Ambrogio, Walter aut Allen, Matthew S. aut Fregolent, Annalisa aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 104(2021), 2 vom: Apr., Seite 1043-1067 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:104 year:2021 number:2 month:04 pages:1043-1067 https://doi.org/10.1007/s11071-021-06363-w lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT AR 104 2021 2 04 1043-1067 |
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10.1007/s11071-021-06363-w doi (DE-627)OLC2125245663 (DE-He213)s11071-021-06363-w-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Latini, Francesco verfasserin aut Nonlinear substructuring in the modal domain: numerical validation and experimental verification in presence of localized nonlinearities 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2021 Abstract In many systems of interest, most of the structure is well approximated as linear but some parts must be treated as nonlinear to get accurate response predictions: significant nonlinear effects are due to the connections between coupled subsystems, such as in automotive or aerospace structures. The present work aims at predicting the nonlinear behavior of coupled systems using a substructuring technique in the modal domain. This study focuses on the effects of nonlinear connections on the dynamics of an assembly in which the coupled subsystems can be considered as linear. Each connection is instead considered as a quasi-linear substructure with stiffness that is function of amplitude or energy. The iterative procedure used here is enhanced with respect to previous works by enforcing a better control of the total energy at each iteration allowing to obtain the solution for a prescribed set of energy levels. Also, the initial guess and the convergence criterion have been modified to speed up the procedure. This technique is applied to a system made of two continuous linear subsystems coupled by nonlinear connections. The numerical results of the coupling are first compared to the ones obtained by using the Harmonic Balance technique on the model of the complete assembly to evaluate its effectiveness and understand the effects of modal truncation. Besides, a nonlinear connecting element, specifically designed in order to have a nearly cubic hardening behavior, is used in an experimental setup. Substructuring results are compared to experimental results measured on the assembled system, in order to evaluate the correlation between mode shapes and the accuracy in the resonance frequency at several excitation levels. Substructuring coupling Nonlinear connection Nonlinear normal modes Continuous systems Experimental comparison Brunetti, Jacopo aut D’Ambrogio, Walter aut Allen, Matthew S. aut Fregolent, Annalisa aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 104(2021), 2 vom: Apr., Seite 1043-1067 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:104 year:2021 number:2 month:04 pages:1043-1067 https://doi.org/10.1007/s11071-021-06363-w lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT AR 104 2021 2 04 1043-1067 |
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10.1007/s11071-021-06363-w doi (DE-627)OLC2125245663 (DE-He213)s11071-021-06363-w-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Latini, Francesco verfasserin aut Nonlinear substructuring in the modal domain: numerical validation and experimental verification in presence of localized nonlinearities 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2021 Abstract In many systems of interest, most of the structure is well approximated as linear but some parts must be treated as nonlinear to get accurate response predictions: significant nonlinear effects are due to the connections between coupled subsystems, such as in automotive or aerospace structures. The present work aims at predicting the nonlinear behavior of coupled systems using a substructuring technique in the modal domain. This study focuses on the effects of nonlinear connections on the dynamics of an assembly in which the coupled subsystems can be considered as linear. Each connection is instead considered as a quasi-linear substructure with stiffness that is function of amplitude or energy. The iterative procedure used here is enhanced with respect to previous works by enforcing a better control of the total energy at each iteration allowing to obtain the solution for a prescribed set of energy levels. Also, the initial guess and the convergence criterion have been modified to speed up the procedure. This technique is applied to a system made of two continuous linear subsystems coupled by nonlinear connections. The numerical results of the coupling are first compared to the ones obtained by using the Harmonic Balance technique on the model of the complete assembly to evaluate its effectiveness and understand the effects of modal truncation. Besides, a nonlinear connecting element, specifically designed in order to have a nearly cubic hardening behavior, is used in an experimental setup. Substructuring results are compared to experimental results measured on the assembled system, in order to evaluate the correlation between mode shapes and the accuracy in the resonance frequency at several excitation levels. Substructuring coupling Nonlinear connection Nonlinear normal modes Continuous systems Experimental comparison Brunetti, Jacopo aut D’Ambrogio, Walter aut Allen, Matthew S. aut Fregolent, Annalisa aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 104(2021), 2 vom: Apr., Seite 1043-1067 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:104 year:2021 number:2 month:04 pages:1043-1067 https://doi.org/10.1007/s11071-021-06363-w lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT AR 104 2021 2 04 1043-1067 |
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10.1007/s11071-021-06363-w doi (DE-627)OLC2125245663 (DE-He213)s11071-021-06363-w-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Latini, Francesco verfasserin aut Nonlinear substructuring in the modal domain: numerical validation and experimental verification in presence of localized nonlinearities 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2021 Abstract In many systems of interest, most of the structure is well approximated as linear but some parts must be treated as nonlinear to get accurate response predictions: significant nonlinear effects are due to the connections between coupled subsystems, such as in automotive or aerospace structures. The present work aims at predicting the nonlinear behavior of coupled systems using a substructuring technique in the modal domain. This study focuses on the effects of nonlinear connections on the dynamics of an assembly in which the coupled subsystems can be considered as linear. Each connection is instead considered as a quasi-linear substructure with stiffness that is function of amplitude or energy. The iterative procedure used here is enhanced with respect to previous works by enforcing a better control of the total energy at each iteration allowing to obtain the solution for a prescribed set of energy levels. Also, the initial guess and the convergence criterion have been modified to speed up the procedure. This technique is applied to a system made of two continuous linear subsystems coupled by nonlinear connections. The numerical results of the coupling are first compared to the ones obtained by using the Harmonic Balance technique on the model of the complete assembly to evaluate its effectiveness and understand the effects of modal truncation. Besides, a nonlinear connecting element, specifically designed in order to have a nearly cubic hardening behavior, is used in an experimental setup. Substructuring results are compared to experimental results measured on the assembled system, in order to evaluate the correlation between mode shapes and the accuracy in the resonance frequency at several excitation levels. Substructuring coupling Nonlinear connection Nonlinear normal modes Continuous systems Experimental comparison Brunetti, Jacopo aut D’Ambrogio, Walter aut Allen, Matthew S. aut Fregolent, Annalisa aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 104(2021), 2 vom: Apr., Seite 1043-1067 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:104 year:2021 number:2 month:04 pages:1043-1067 https://doi.org/10.1007/s11071-021-06363-w lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT AR 104 2021 2 04 1043-1067 |
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10.1007/s11071-021-06363-w doi (DE-627)OLC2125245663 (DE-He213)s11071-021-06363-w-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Latini, Francesco verfasserin aut Nonlinear substructuring in the modal domain: numerical validation and experimental verification in presence of localized nonlinearities 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2021 Abstract In many systems of interest, most of the structure is well approximated as linear but some parts must be treated as nonlinear to get accurate response predictions: significant nonlinear effects are due to the connections between coupled subsystems, such as in automotive or aerospace structures. The present work aims at predicting the nonlinear behavior of coupled systems using a substructuring technique in the modal domain. This study focuses on the effects of nonlinear connections on the dynamics of an assembly in which the coupled subsystems can be considered as linear. Each connection is instead considered as a quasi-linear substructure with stiffness that is function of amplitude or energy. The iterative procedure used here is enhanced with respect to previous works by enforcing a better control of the total energy at each iteration allowing to obtain the solution for a prescribed set of energy levels. Also, the initial guess and the convergence criterion have been modified to speed up the procedure. This technique is applied to a system made of two continuous linear subsystems coupled by nonlinear connections. The numerical results of the coupling are first compared to the ones obtained by using the Harmonic Balance technique on the model of the complete assembly to evaluate its effectiveness and understand the effects of modal truncation. Besides, a nonlinear connecting element, specifically designed in order to have a nearly cubic hardening behavior, is used in an experimental setup. Substructuring results are compared to experimental results measured on the assembled system, in order to evaluate the correlation between mode shapes and the accuracy in the resonance frequency at several excitation levels. Substructuring coupling Nonlinear connection Nonlinear normal modes Continuous systems Experimental comparison Brunetti, Jacopo aut D’Ambrogio, Walter aut Allen, Matthew S. aut Fregolent, Annalisa aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 104(2021), 2 vom: Apr., Seite 1043-1067 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:104 year:2021 number:2 month:04 pages:1043-1067 https://doi.org/10.1007/s11071-021-06363-w lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT AR 104 2021 2 04 1043-1067 |
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Latini, Francesco |
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Nonlinear dynamics |
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Nonlinear dynamics |
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eng |
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2021 |
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Latini, Francesco Brunetti, Jacopo D’Ambrogio, Walter Allen, Matthew S. Fregolent, Annalisa |
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Latini, Francesco |
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10.1007/s11071-021-06363-w |
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nonlinear substructuring in the modal domain: numerical validation and experimental verification in presence of localized nonlinearities |
| title_auth |
Nonlinear substructuring in the modal domain: numerical validation and experimental verification in presence of localized nonlinearities |
| abstract |
Abstract In many systems of interest, most of the structure is well approximated as linear but some parts must be treated as nonlinear to get accurate response predictions: significant nonlinear effects are due to the connections between coupled subsystems, such as in automotive or aerospace structures. The present work aims at predicting the nonlinear behavior of coupled systems using a substructuring technique in the modal domain. This study focuses on the effects of nonlinear connections on the dynamics of an assembly in which the coupled subsystems can be considered as linear. Each connection is instead considered as a quasi-linear substructure with stiffness that is function of amplitude or energy. The iterative procedure used here is enhanced with respect to previous works by enforcing a better control of the total energy at each iteration allowing to obtain the solution for a prescribed set of energy levels. Also, the initial guess and the convergence criterion have been modified to speed up the procedure. This technique is applied to a system made of two continuous linear subsystems coupled by nonlinear connections. The numerical results of the coupling are first compared to the ones obtained by using the Harmonic Balance technique on the model of the complete assembly to evaluate its effectiveness and understand the effects of modal truncation. Besides, a nonlinear connecting element, specifically designed in order to have a nearly cubic hardening behavior, is used in an experimental setup. Substructuring results are compared to experimental results measured on the assembled system, in order to evaluate the correlation between mode shapes and the accuracy in the resonance frequency at several excitation levels. © The Author(s) 2021 |
| abstractGer |
Abstract In many systems of interest, most of the structure is well approximated as linear but some parts must be treated as nonlinear to get accurate response predictions: significant nonlinear effects are due to the connections between coupled subsystems, such as in automotive or aerospace structures. The present work aims at predicting the nonlinear behavior of coupled systems using a substructuring technique in the modal domain. This study focuses on the effects of nonlinear connections on the dynamics of an assembly in which the coupled subsystems can be considered as linear. Each connection is instead considered as a quasi-linear substructure with stiffness that is function of amplitude or energy. The iterative procedure used here is enhanced with respect to previous works by enforcing a better control of the total energy at each iteration allowing to obtain the solution for a prescribed set of energy levels. Also, the initial guess and the convergence criterion have been modified to speed up the procedure. This technique is applied to a system made of two continuous linear subsystems coupled by nonlinear connections. The numerical results of the coupling are first compared to the ones obtained by using the Harmonic Balance technique on the model of the complete assembly to evaluate its effectiveness and understand the effects of modal truncation. Besides, a nonlinear connecting element, specifically designed in order to have a nearly cubic hardening behavior, is used in an experimental setup. Substructuring results are compared to experimental results measured on the assembled system, in order to evaluate the correlation between mode shapes and the accuracy in the resonance frequency at several excitation levels. © The Author(s) 2021 |
| abstract_unstemmed |
Abstract In many systems of interest, most of the structure is well approximated as linear but some parts must be treated as nonlinear to get accurate response predictions: significant nonlinear effects are due to the connections between coupled subsystems, such as in automotive or aerospace structures. The present work aims at predicting the nonlinear behavior of coupled systems using a substructuring technique in the modal domain. This study focuses on the effects of nonlinear connections on the dynamics of an assembly in which the coupled subsystems can be considered as linear. Each connection is instead considered as a quasi-linear substructure with stiffness that is function of amplitude or energy. The iterative procedure used here is enhanced with respect to previous works by enforcing a better control of the total energy at each iteration allowing to obtain the solution for a prescribed set of energy levels. Also, the initial guess and the convergence criterion have been modified to speed up the procedure. This technique is applied to a system made of two continuous linear subsystems coupled by nonlinear connections. The numerical results of the coupling are first compared to the ones obtained by using the Harmonic Balance technique on the model of the complete assembly to evaluate its effectiveness and understand the effects of modal truncation. Besides, a nonlinear connecting element, specifically designed in order to have a nearly cubic hardening behavior, is used in an experimental setup. Substructuring results are compared to experimental results measured on the assembled system, in order to evaluate the correlation between mode shapes and the accuracy in the resonance frequency at several excitation levels. © The Author(s) 2021 |
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| title_short |
Nonlinear substructuring in the modal domain: numerical validation and experimental verification in presence of localized nonlinearities |
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Brunetti, Jacopo D’Ambrogio, Walter Allen, Matthew S. Fregolent, Annalisa |
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Brunetti, Jacopo D’Ambrogio, Walter Allen, Matthew S. Fregolent, Annalisa |
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