The Poisson Effect on Curved Beam Analysis

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Title:	The Poisson Effect on Curved Beam Analysis
Other Titles:	蒲松效應對彎曲樑分析之影響
Authors:	江毅成
Contributors:	工學院
Keywords:	彎曲樑彎曲平板彎曲應力蒲松效應 Curved beam curved plate bending stress Poisson ratio
Date:	2004-06-01
Issue Date:	2012-04-25 13:18:20 (UTC+8)
Abstract:	本研究將提出考慮橫向變形效應之平面彎曲樑(plane-curved beam)一般理論，首先，一新的彎曲平板之合應力、合力矩、中心平板之應變和變形曲線之構成關係(constitutive relation)將被推導，此構成關係將提供分析等向性和非等向性彎曲樑之基礎，彎曲應力公式將由此新的彎曲樑理論推導出來，蒲松效應和幾何參數h/R對彎曲樑分析之影響將在本論文中探討。 A general theory that taking into account the transverse deformation is developed for plane-curved, untwisted beams subjected to loadings that result in deformations in the plane of curvature. First, a new constitutive relation between stress resultants, moment resultants, mid-plane strains and deformed curvatures for a curved plate in established. This curved plate constitutive relation will provide the fundamental basis to the analyses of curved structures composing of isotropic or anisotropic materials. Then, the bending stress formula can be deduced from this new developed curved plate theory. The influences of the Poisson ratio and the geometric parameter of h/R ratio on the bending stress are discussed in the present paper.
Relation:	華岡工程學報 18期 p.45 -52
Appears in Collections:	[College of Engineering] Chinese Culture University Hwa Kang Journal of Engineering

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