今天写有关板壳理论的第一节,有关各向同性薄板的小挠度弯曲的模型建立。也就是基于 Kirchhoff 计算假定的应用弹性力学的薄板问题的建模。 特别地,这次会从真实结果出发,反推应用弹性力学的简化建模是否合理。 一、从真实结果出发,深入解读 Kirchhoff 计算假定: 真实结果表明: σx,σy,τxy,τxz,τyz,σz 这六...
板壳理论是弹性力学中一个重要的分支，它主要应用于分析各向同性薄板在小挠度弯曲下的行为。以Kirchhoff–Love Plate Theory为例，我们将深入探讨基于该理论的简化建模及其合理性。从真实结果出发，我们发现Kirchhoff–Love理论的六个应力分量并非等量级，其中，法向应力 [公式] 是主要应力，切应力 [公式] ...
The Kirchhoff-Love theory also known as the classical plate theory (CPT) is based on three basic assumptions. First, the plate is assumed to be inextensible in the transverse direction ɛzz=0 so w=woxy. Then, it is assumed that the transverse shear deformations are negligible ɛxz=0,...
Herein, we apply the TDC for the reformulation of the classical Kirchhoff–Love shell theory which is typically formulated based on a given parametrization. Based on the TDC, it is possible to also formulate the boundary value problem (BVP) for shell geometries where no parametrization is given ...
The Kirchhoff-Love shell theory is recasted in the frame of the tangential differential calculus where differential operators on surfaces are formulated without the need for a parametrization, i.e., local coordinates. The governing equations are presented in strong and weak form including a detailed...
P. Fries 1Received:28May2018/Accepted:14November2018©TheAuthor(s)2018AbstractThe Kirchhoff–Love shell theory is recasted in the frame of the tangential differential calculus (TDC) where differentialoperators on surfaces are formulated based on global, three-dimensional coordinates. As a consequence...
The Kirchhoff-Love shell theory is recasted in the frame of the tangential differential calculus where differential operators on surfaces are formulated without the need for a parametrization, i.e., local coordinates. The governing equations are presented in strong and weak form including a detailed...
In this chapter, we first deal with the generalization of the Timoshenko–Ehrenfest beam theory into the associated theory of plates. This contribution belongs to Uflyand (1948) and Mindlin (1951) which are given here in some detail. We reproduce exact solutions for rectangular plates simply sup...
The Kirchhoff-Love hypothesis expresses a kinematic constraint that is assumed to be valid for the deformations of a three-dimensional body when one of its
The advantages of this linear plate theory include (i) its simplicity (as simple as the Kirchhoff-Love theory), (ii) high accuracy for frequencies and... HH Song - 《Journal of Elasticity》 被引量: 0发表: 2016年 An integrated moving element method (IMEM) for hydroelastic analysis of infin...