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RISS 인기검색어
- 검색키워드
- 저자 : Yih-Cherng Chiang (검색결과 6 건)
- 무료
- 기관 내 무료
- 유료
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The Poisson effect on the curved beam analysis
Yih-Cherng Chiang 국제구조공학회 2005 Structural Engineering and Mechanics, An Int'l Jou Vol.19 No.6
The bending stress formula that taking into account the transverse deformation is developedfor plane-curved, untwisted isotropic beams subjected to loadings that result in deformations in the planeof curvature. In order to account the transverse Poisson contraction effect, a new constitutive relationstrains and deformed curvatures for a curved plateis derived in a 6 6 matrix form. This constitutive relation will provide the fundamental basis to theanalyses of curved structures composing of isotropic or anisotropic materials. Then, the bending stressformula of a curved isotropic beam can be deduced from this newly developed curved plate theory. Thestress predictions by the present analysis are compared to those by the analysis that neglected the Poisoncontraction effect. The results show that the Poisson effect becomes more significant as the Poisson ratioand the curvature are getting larger.
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The Poisson effect on the curved beam analysis
Chiang, Yih-Cherng Techno-Press 2005 Structural Engineering and Mechanics, An Int'l Jou Vol.19 No.6
The bending stress formula that taking into account the transverse deformation is developed for plane-curved, untwisted isotropic beams subjected to loadings that result in deformations in the plane of curvature. In order to account the transverse Poisson contraction effect, a new constitutive relation between force resultants, moment resultants, mid-plane strains and deformed curvatures for a curved plate is derived in a $6{\times}6$ matrix form. This constitutive relation will provide the fundamental basis to the analyses of curved structures composing of isotropic or anisotropic materials. Then, the bending stress formula of a curved isotropic beam can be deduced from this newly developed curved plate theory. The stress predictions by the present analysis are compared to those by the analysis that neglected the Poisson contraction effect. The results show that the Poisson effect becomes more significant as the Poisson ratio and the curvature are getting larger.
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Chiang., Yih-Cherng Techno-Press 2011 Structural Engineering and Mechanics, An Int'l Jou Vol.39 No.2
This paper is devoted to the development of the equations which describe the elastic response of a curved laminate subjected to in-plane loads and bending moments. Similar to the classic $6{\times}6$ ABD matrix constitutive relation of a flat laminate, a new $6{\times}6$ matrix constitutive relation between force resultants, moment resultants, mid-plane strains and deformed curvatures for a curved laminate is formulated. This curved lamination theory will provide the fundamental basis for the analyses of curved laminated structures. The stress predictions by the present curved lamination theory are compared to those by the curved laminate analysis that neglected the nonlinear terms in the derivation of the constitutive relation. The results show that the curved laminate analysis that neglected the nonlinear terms cannot reflect the effect of curvature and can no longer predict the stresses accurately as the curvature becomes noticeable. In this paper, a curved lamination theory that retains the nonlinear terms and, therefore, accounts for the effect of the non-flat geometry of the structure will be developed.
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Yih-Cherng Chiang 국제구조공학회 2011 Structural Engineering and Mechanics, An Int'l Jou Vol.39 No.2
This paper is devoted to the development of the equations which describe the elastic response of a curved laminate subjected to in-plane loads and bending moments. Similar to the classic 6 × 6 ABD matrix constitutive relation of a flat laminate, a new 6 × 6 matrix constitutive relation between force resultants, moment resultants, mid-plane strains and deformed curvatures for a curved laminate is formulated. This curved lamination theory will provide the fundamental basis for the analyses of curved laminated structures. The stress predictions by the present curved lamination theory are compared to those by the curved laminate analysis that neglected the nonlinear terms in the derivation of the constitutive relation. The results show that the curved laminate analysis that neglected the nonlinear terms cannot reflect the effect of curvature and can no longer predict the stresses accurately as the curvature becomes noticeable. In this paper, a curved lamination theory that retains the nonlinear terms and, therefore, accounts for the effect of the non-flat geometry of the structure will be developed.
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On the theory of curved anisotropic plate
Chiang, Yih-Cherng Techno-Press 2006 Structural Engineering and Mechanics, An Int'l Jou Vol.22 No.6
A general theory which describes the elastic response of a curved anisotropic plate subjected to stretching and bending will be developed by considering the nonlinear effect that reflecting the non-flat geometry of the structure. By applying a newly derived $6{\times}6$ matrix constitutive relation between force resultants, moment resultants, mid-plane strains and deformed curvatures, the governing differential equations for a curved anisotropic plate is developed in the usual manner, namely, by consideration of the constitutive relation and equilibrium equations. Solutions are obtained for simply-supported boundary conditions and compared to corresponding solutions that neglecting the nonlinear effect in the analysis. The comparisons indicate that the nonlinear terms in the equations that caused by the curvature of the structure is crucial for the curved plate analysis. Under certain curved plate geometries the unreasonable results will be induced by neglecting the nonlinear effect in the analysis.
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