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首页> 外文期刊>Applied Mathematical Modelling >A novel stiffness/flexibility-based method for Euler-Bernoulli/Timoshenko beams with multiple discontinuities and singularities
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A novel stiffness/flexibility-based method for Euler-Bernoulli/Timoshenko beams with multiple discontinuities and singularities

机译：具有多个不连续和奇点的Euler-Bernoulli / Timoshenko梁的一种基于刚度/柔度的新颖方法

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摘要

Nonprismatic beams have vast and various applications in mechanical and structural systems; thus, much research is dedicated to develop well-performed stiffness matrices for beams with different forms of section changes and singularities. This paper introduces stiffness matrices by the use of flexibility and stiffness methods. For this purpose, the spring model of the beam element is introduced. This model provides an innovative physical interpretation for the beam element. It can also be used to develop finite elements for both Euler-Bernoulli and Timoshenko beams with different combinations of tapering, singularity and discontinuity. In this model, beam sections are represented by some appropriate virtual springs; their connection in series/parallel gives the flexibility/stiffness matrix of the beam element. The obtained matrices are in general forms and applicable to different beam conditions.
机译：非棱柱梁在机械和结构系统中有广泛的应用。因此，许多研究致力于为具有不同形式的截面变化和奇异性的梁开发性能良好的刚度矩阵。本文通过柔度和刚度方法介绍了刚度矩阵。为此，引入了梁单元的弹簧模型。该模型为梁单元提供了创新的物理解释。它也可以用于开发具有锥形，奇异性和不连续性的不同组合的Euler-Bernoulli和Timoshenko梁的有限元。在该模型中，梁的截面由一些适当的虚拟弹簧表示。它们串联/并联的连接给出了梁单元的柔韧性/刚度矩阵。所获得的矩阵具有一般形式，并且适用于不同的光束条件。

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