simply supported beamWe investigate the spectrum of frequencies of a nonlocal simply supported Timoshenko beam. When the mass matrix term is nonsingular, we can find the amplitudes of free vibrations as solutions of a second﹐rder matrix differential equation. These solutions are given in terms of...
Vertical displacement and bending rotation of the beam were interpolated by Lagrange polynomials supported on the Gauss-Lobatto-Legendre (GLL) points. By using GLL integration rule, the mass matrix was diagonal and the dynamic responses can be obtained efficiently and accurately. The results were ...
Furthermore, geometric stiffness matrix and mass matrix of the proposed element are calculated by writing governing equation on stability and beam free vibration. At last, accuracy and efficiency of proposed element are evaluated through numerical tests. These tests show high accuracy of the element ...
Free vibration of axial-loaded multi-step Timoshenko beam carrying arbitrary concentrated elements using continuous-mass transfer matrix method The continuous-mass transfer matrix method (CTMM) is one of the few practical approaches to yield the ldquoexactrdquo solutions for free vibrations of a no.....
一组新的Timoshenko梁单元一致矩阵公式 第13卷第2期 兰州铁道学院 JOURNALOFLANZHOURAILWAYINSTITUTEVo].1.3.No.2.1994 一 组新的Timoshenko梁单元一致矩阵公式 周世军 (结樗工程系) 朱烯 cg,研所) 摘要本文利用最小势能原理.导出了桑单元考虑剪切变形的三次位移模式.在 此基碚上推导7单元刚度矩阵.一致质量矩阵和...
In addition, no further physical subdivision of the beam is necessary to obtain higher accuracy, thereby simplifying the grid layout. Element mass and stiffness matrices are developed using several different types of interface restrained assumed modes. Finally, numerical examples are included, ...
The stiffness, mass, and consistent force matrices for a simple two-node Timoshenko beam element are developed based upon Hamilton's principle. Cubic and quadratic Lagrangian polynomials are used for the transverse and rotational displacements, respectively, where the polynomials are made interdependent ...
摘要 摘要 上世纪20年代,Timoshenko提出了具有两个广义位移的梁的理论IlJ,称为 Timoshenko梁理论(TBTl)。TBT是一个经典理论,自产生以来,它已广泛地 用于科研及工程实际中,尤其是小变形的横向振动问题。但是随之也产生了不 少的争议,争论的焦点即TBT的两个频谱问题。 本文首先由Timoshenko梁运动方程的推导过程探讨了...
关键词: Timoshenko樑 分佈質量轉移矩陣法 集中元素 自由振動 concentrated elements Timoshenko beam continuous-mass transfer matrix method free vibration 年份: 2006 收藏 引用 批量引用 报错 分享 全部来源 求助全文 ir.lib.ncku.edu.tw 参考文献Natural frequencies of a beam with non-classical boundary ...
The FEM discretizes the beam into a finite number of elements and solves for the displacement fields. In this analysis, the global stiffness matrix connects the vector of nodal displacements with the vector of forces. In other words, the FEM solves the matrix equation of the form F=K d,...