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:
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] ...
Kirchhoff-Love Plate Theory: First-Order Analysis, Second-Order Analysis, Plate Buckling Analysis and Vibration Analysis Using the Finite Difference MethodFogang, ValentinIUP Journal of Structural Engineering
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,...
Powell-Sabin B-splines and unstructured standard T-splines for the solution of the Kirchhoff-Love plate theory exploiting Bézier extraction de Borst. Powell-Sabin B-splines and unstructured standard T-splines for the solution of the Kirchhoff-Love plate theory exploiting be´zier extraction. ......
Une nouvelle version de la théorie des plaques de Kirchhoff-Love. (A new version of the Kirchhoff-Love plate theory) 来自 ResearchGate 喜欢 0 阅读量: 56 作者: P Ladeveze 摘要: A new approach is introduced for the analysis and computation of homogeneous, isotropic elastic plates subjected to...
Larson, Continuous piecewise linear finite elements for the Kirchhoff-Love plate equation, Numer. Math. 121 (2012), 65-97... K Larsson,MG Larson - 《Numerische Mathematik》 被引量: 0发表: 2012年 An Improved Shear-Deformation Theory for Moderately Thick Multilayered Anisotropic Shells and Plates...
Chien Weizang, The first order approximation of non-Kirchhoff-Love theory for elastic circular plate with fixed boundary under uniform surface loading (I), Applied Mathematics and Mechanics , 18 , 1 (1997), 1–18.Qian,W.C,Sheng,S.Z. The first-order approximation of non-Kirchhoff-Love ...
To illustrate the theory we construct basis functions of the lowest order and perform numerical experiments for a smooth and a singular model solution. They confirm the expected convergence behavior of the DPG method both for uniform and adaptively refined meshes. PDF Abstract ...
Finally, the elastothermodynamic damping models are established based on the composite multilayer plate theory. The model in this paper is compared with the previous model and the finite element results.doi:10.1016/j.apm.2020.09.005Wujiu Pan...