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	A new orthogonality relationship for orthotropic thin plate theory and its variational principle
	Jianhui Luo ; Yuqiu Long ; Guangdong Liu
	2010-10-12 ; 2010-10-12
关键词	Theoretical or Mathematical/ bending differential equations elasticity plates (structures) variational techniques/ orthotropic thin plate theory variational principle dual vectors orthogonality relationship elasticity orthotropic thin plate bending problems analogy theory dual differential equations mixed variables method/ A4630C Elasticity A4630J Viscoelasticity, plasticity, viscoplasticity, creep, and stress relaxation A0230 Function theory, analysis E2180A Elasticity (mechanical engineering) E2180B Plasticity (mechanical engineering) E0210C Mathematical analysis E1710 Engineering materials E2110A General shapes and structures
中文摘要	The thought how dual vectors are constructed in a new orthogonality relationship for theory of elasticity is generalized into orthotropic thin plate bending problems by using the analogy theory between plane elasticity problems and plate bending problems. Dual differential equations are directly obtained by using a mixed variables method. A dual differential matrix to be derived possesses a peculiarity of which principal diagonal sub-matrixes are zero matrixes. Two independently and symmetrically orthogonality sub-relatioships are discovered. By using the integral form for elastic bending theory of orthotropic thin plate the orthogonality relationship is demonstrated. By selecting felicitous dual vectors a new orthogonality relationship for theory of elasticity can be generalized into elastic bending theory of orthotropic thin plate. By using the integral form a variational principle which is relative to differential form and a whole function expression are proposed.
语种	英语
出版者	SP Science in China Press ; China
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/82056]
专题	清华大学
推荐引用方式 GB/T 7714	Jianhui Luo,Yuqiu Long,Guangdong Liu. A new orthogonality relationship for orthotropic thin plate theory and its variational principle[J],2010, 2010.
APA	Jianhui Luo,Yuqiu Long,&Guangdong Liu.(2010).A new orthogonality relationship for orthotropic thin plate theory and its variational principle..
MLA	Jianhui Luo,et al."A new orthogonality relationship for orthotropic thin plate theory and its variational principle".(2010).

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