Folding analysis for thick origami with kinematic frame models concerning gravity

Thickness and gravity are both the significant problems and challenges for origami structures in the field of building construction. This paper described a numerical folding analysis method to investigate the kinematic characteristics of thick origami using movable frame structural models driven by...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Zhang, Tianhao [verfasserIn] Kawaguchi, Ken’ichi [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2021

Schlagwörter:	Folding analysis Thick origami Rigid origami Kinematic indeterminacy Generalized inverse Nodal forces

Übergeordnetes Werk:	Enthalten in: Automation in construction - Amsterdam [u.a.] : Elsevier Science Publ., 1992, 127
Übergeordnetes Werk:	volume:127

DOI / URN:	10.1016/j.autcon.2021.103691

Katalog-ID:	ELV006074707

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520			\|a Thickness and gravity are both the significant problems and challenges for origami structures in the field of building construction. This paper described a numerical folding analysis method to investigate the kinematic characteristics of thick origami using movable frame structural models driven by the external forces. The numeric methodology of the folding analysis is based on the generalized inverse theory. Therefore, both the morphing modes and the folding paths can be obtained in the environment of gravity through introducing the nodal forces directly. A general modeling approach is proposed to establish thick origami models using kinematic frames. To demonstrate the proposed method, single-DOF and multi-DOF examples are investigated. The folding procedures are obtained under the external forces, and the rigid motion modes are discussed. The presented method shows feasibility of analyzing the folding process of thick origami, which can help assess the practical rapid construction tasks in the future.
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allfields	10.1016/j.autcon.2021.103691 doi (DE-627)ELV006074707 (ELSEVIER)S0926-5805(21)00142-4 DE-627 ger DE-627 rda eng 690 DE-600 56.03 bkl Zhang, Tianhao verfasserin aut Folding analysis for thick origami with kinematic frame models concerning gravity 2021 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Thickness and gravity are both the significant problems and challenges for origami structures in the field of building construction. This paper described a numerical folding analysis method to investigate the kinematic characteristics of thick origami using movable frame structural models driven by the external forces. The numeric methodology of the folding analysis is based on the generalized inverse theory. Therefore, both the morphing modes and the folding paths can be obtained in the environment of gravity through introducing the nodal forces directly. A general modeling approach is proposed to establish thick origami models using kinematic frames. To demonstrate the proposed method, single-DOF and multi-DOF examples are investigated. The folding procedures are obtained under the external forces, and the rigid motion modes are discussed. The presented method shows feasibility of analyzing the folding process of thick origami, which can help assess the practical rapid construction tasks in the future. Folding analysis Thick origami Rigid origami Kinematic indeterminacy Generalized inverse Nodal forces Kawaguchi, Ken’ichi verfasserin aut Enthalten in Automation in construction Amsterdam [u.a.] : Elsevier Science Publ., 1992 127 Online-Ressource (DE-627)320422259 (DE-600)2002703-5 (DE-576)094478813 nnns volume:127 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_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_2008 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_4046 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_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 56.03 Methoden im Bauingenieurwesen AR 127
spelling	10.1016/j.autcon.2021.103691 doi (DE-627)ELV006074707 (ELSEVIER)S0926-5805(21)00142-4 DE-627 ger DE-627 rda eng 690 DE-600 56.03 bkl Zhang, Tianhao verfasserin aut Folding analysis for thick origami with kinematic frame models concerning gravity 2021 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Thickness and gravity are both the significant problems and challenges for origami structures in the field of building construction. This paper described a numerical folding analysis method to investigate the kinematic characteristics of thick origami using movable frame structural models driven by the external forces. The numeric methodology of the folding analysis is based on the generalized inverse theory. Therefore, both the morphing modes and the folding paths can be obtained in the environment of gravity through introducing the nodal forces directly. A general modeling approach is proposed to establish thick origami models using kinematic frames. To demonstrate the proposed method, single-DOF and multi-DOF examples are investigated. The folding procedures are obtained under the external forces, and the rigid motion modes are discussed. The presented method shows feasibility of analyzing the folding process of thick origami, which can help assess the practical rapid construction tasks in the future. Folding analysis Thick origami Rigid origami Kinematic indeterminacy Generalized inverse Nodal forces Kawaguchi, Ken’ichi verfasserin aut Enthalten in Automation in construction Amsterdam [u.a.] : Elsevier Science Publ., 1992 127 Online-Ressource (DE-627)320422259 (DE-600)2002703-5 (DE-576)094478813 nnns volume:127 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_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_2008 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_4046 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_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 56.03 Methoden im Bauingenieurwesen AR 127
allfields_unstemmed	10.1016/j.autcon.2021.103691 doi (DE-627)ELV006074707 (ELSEVIER)S0926-5805(21)00142-4 DE-627 ger DE-627 rda eng 690 DE-600 56.03 bkl Zhang, Tianhao verfasserin aut Folding analysis for thick origami with kinematic frame models concerning gravity 2021 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Thickness and gravity are both the significant problems and challenges for origami structures in the field of building construction. This paper described a numerical folding analysis method to investigate the kinematic characteristics of thick origami using movable frame structural models driven by the external forces. The numeric methodology of the folding analysis is based on the generalized inverse theory. Therefore, both the morphing modes and the folding paths can be obtained in the environment of gravity through introducing the nodal forces directly. A general modeling approach is proposed to establish thick origami models using kinematic frames. To demonstrate the proposed method, single-DOF and multi-DOF examples are investigated. The folding procedures are obtained under the external forces, and the rigid motion modes are discussed. The presented method shows feasibility of analyzing the folding process of thick origami, which can help assess the practical rapid construction tasks in the future. Folding analysis Thick origami Rigid origami Kinematic indeterminacy Generalized inverse Nodal forces Kawaguchi, Ken’ichi verfasserin aut Enthalten in Automation in construction Amsterdam [u.a.] : Elsevier Science Publ., 1992 127 Online-Ressource (DE-627)320422259 (DE-600)2002703-5 (DE-576)094478813 nnns volume:127 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_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_2008 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_4046 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_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 56.03 Methoden im Bauingenieurwesen AR 127
allfieldsGer	10.1016/j.autcon.2021.103691 doi (DE-627)ELV006074707 (ELSEVIER)S0926-5805(21)00142-4 DE-627 ger DE-627 rda eng 690 DE-600 56.03 bkl Zhang, Tianhao verfasserin aut Folding analysis for thick origami with kinematic frame models concerning gravity 2021 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Thickness and gravity are both the significant problems and challenges for origami structures in the field of building construction. This paper described a numerical folding analysis method to investigate the kinematic characteristics of thick origami using movable frame structural models driven by the external forces. The numeric methodology of the folding analysis is based on the generalized inverse theory. Therefore, both the morphing modes and the folding paths can be obtained in the environment of gravity through introducing the nodal forces directly. A general modeling approach is proposed to establish thick origami models using kinematic frames. To demonstrate the proposed method, single-DOF and multi-DOF examples are investigated. The folding procedures are obtained under the external forces, and the rigid motion modes are discussed. The presented method shows feasibility of analyzing the folding process of thick origami, which can help assess the practical rapid construction tasks in the future. Folding analysis Thick origami Rigid origami Kinematic indeterminacy Generalized inverse Nodal forces Kawaguchi, Ken’ichi verfasserin aut Enthalten in Automation in construction Amsterdam [u.a.] : Elsevier Science Publ., 1992 127 Online-Ressource (DE-627)320422259 (DE-600)2002703-5 (DE-576)094478813 nnns volume:127 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_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_2008 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_4046 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_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 56.03 Methoden im Bauingenieurwesen AR 127
allfieldsSound	10.1016/j.autcon.2021.103691 doi (DE-627)ELV006074707 (ELSEVIER)S0926-5805(21)00142-4 DE-627 ger DE-627 rda eng 690 DE-600 56.03 bkl Zhang, Tianhao verfasserin aut Folding analysis for thick origami with kinematic frame models concerning gravity 2021 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Thickness and gravity are both the significant problems and challenges for origami structures in the field of building construction. This paper described a numerical folding analysis method to investigate the kinematic characteristics of thick origami using movable frame structural models driven by the external forces. The numeric methodology of the folding analysis is based on the generalized inverse theory. Therefore, both the morphing modes and the folding paths can be obtained in the environment of gravity through introducing the nodal forces directly. A general modeling approach is proposed to establish thick origami models using kinematic frames. To demonstrate the proposed method, single-DOF and multi-DOF examples are investigated. The folding procedures are obtained under the external forces, and the rigid motion modes are discussed. The presented method shows feasibility of analyzing the folding process of thick origami, which can help assess the practical rapid construction tasks in the future. Folding analysis Thick origami Rigid origami Kinematic indeterminacy Generalized inverse Nodal forces Kawaguchi, Ken’ichi verfasserin aut Enthalten in Automation in construction Amsterdam [u.a.] : Elsevier Science Publ., 1992 127 Online-Ressource (DE-627)320422259 (DE-600)2002703-5 (DE-576)094478813 nnns volume:127 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_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_2008 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_4046 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_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 56.03 Methoden im Bauingenieurwesen AR 127
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author	Zhang, Tianhao
spellingShingle	Zhang, Tianhao ddc 690 bkl 56.03 misc Folding analysis misc Thick origami misc Rigid origami misc Kinematic indeterminacy misc Generalized inverse misc Nodal forces Folding analysis for thick origami with kinematic frame models concerning gravity
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topic_title	690 DE-600 56.03 bkl Folding analysis for thick origami with kinematic frame models concerning gravity Folding analysis Thick origami Rigid origami Kinematic indeterminacy Generalized inverse Nodal forces
topic	ddc 690 bkl 56.03 misc Folding analysis misc Thick origami misc Rigid origami misc Kinematic indeterminacy misc Generalized inverse misc Nodal forces
topic_unstemmed	ddc 690 bkl 56.03 misc Folding analysis misc Thick origami misc Rigid origami misc Kinematic indeterminacy misc Generalized inverse misc Nodal forces
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title	Folding analysis for thick origami with kinematic frame models concerning gravity
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title_full	Folding analysis for thick origami with kinematic frame models concerning gravity
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title_sort	folding analysis for thick origami with kinematic frame models concerning gravity
title_auth	Folding analysis for thick origami with kinematic frame models concerning gravity
abstract	Thickness and gravity are both the significant problems and challenges for origami structures in the field of building construction. This paper described a numerical folding analysis method to investigate the kinematic characteristics of thick origami using movable frame structural models driven by the external forces. The numeric methodology of the folding analysis is based on the generalized inverse theory. Therefore, both the morphing modes and the folding paths can be obtained in the environment of gravity through introducing the nodal forces directly. A general modeling approach is proposed to establish thick origami models using kinematic frames. To demonstrate the proposed method, single-DOF and multi-DOF examples are investigated. The folding procedures are obtained under the external forces, and the rigid motion modes are discussed. The presented method shows feasibility of analyzing the folding process of thick origami, which can help assess the practical rapid construction tasks in the future.
abstractGer	Thickness and gravity are both the significant problems and challenges for origami structures in the field of building construction. This paper described a numerical folding analysis method to investigate the kinematic characteristics of thick origami using movable frame structural models driven by the external forces. The numeric methodology of the folding analysis is based on the generalized inverse theory. Therefore, both the morphing modes and the folding paths can be obtained in the environment of gravity through introducing the nodal forces directly. A general modeling approach is proposed to establish thick origami models using kinematic frames. To demonstrate the proposed method, single-DOF and multi-DOF examples are investigated. The folding procedures are obtained under the external forces, and the rigid motion modes are discussed. The presented method shows feasibility of analyzing the folding process of thick origami, which can help assess the practical rapid construction tasks in the future.
abstract_unstemmed	Thickness and gravity are both the significant problems and challenges for origami structures in the field of building construction. This paper described a numerical folding analysis method to investigate the kinematic characteristics of thick origami using movable frame structural models driven by the external forces. The numeric methodology of the folding analysis is based on the generalized inverse theory. Therefore, both the morphing modes and the folding paths can be obtained in the environment of gravity through introducing the nodal forces directly. A general modeling approach is proposed to establish thick origami models using kinematic frames. To demonstrate the proposed method, single-DOF and multi-DOF examples are investigated. The folding procedures are obtained under the external forces, and the rigid motion modes are discussed. The presented method shows feasibility of analyzing the folding process of thick origami, which can help assess the practical rapid construction tasks in the future.
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title_short	Folding analysis for thick origami with kinematic frame models concerning gravity
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doi_str	10.1016/j.autcon.2021.103691
up_date	2024-07-06T20:08:13.173Z
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This paper described a numerical folding analysis method to investigate the kinematic characteristics of thick origami using movable frame structural models driven by the external forces. The numeric methodology of the folding analysis is based on the generalized inverse theory. Therefore, both the morphing modes and the folding paths can be obtained in the environment of gravity through introducing the nodal forces directly. A general modeling approach is proposed to establish thick origami models using kinematic frames. To demonstrate the proposed method, single-DOF and multi-DOF examples are investigated. The folding procedures are obtained under the external forces, and the rigid motion modes are discussed. 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Folding analysis for thick origami with kinematic frame models concerning gravity

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