Chen,Y. H.General dynamic stiffness matrix of a Timoshenko beam for transverse vibrations.Earthquake Engng. Struct. Dynam. 1987Chen, Y. H., ‘General dynamic stiffness matrix of a Timoshenko beam for transverse vibrations’, Earthquake Engng. Struct. Dynam. , 15 (1987) 391–402....
In this paper, an exact dynamic stiffness matrix is presented for a composite beam. It includes the effects of shear deformation and rotatory inertia: i.e., it is for a composite Timoshenko beam. The theory accounts for the (material) coupling between the bending and torsional deformations ...
varName = sprintf('ElementStiffnessMatrix%d', iEle); % 动态创建变量名matObj.(varName) = ElementStiffnessMatrix; 本章小结 经过多天的打磨,终将杆系结构章节更新完毕,该章节采用全新的彩色插图,努力使读者眼前一亮,每个单元之前均给出了整套代码和视频讲解链接,希望可以带着小白们步入有限元数值世界的大门。
KeywordsTimoshenkoBeam,DynamicStiffnessMatrix,NumericalStability 1引言在十九世纪四十年代,Kolousĕk [1] 提出了动态刚度矩阵法。该方法广泛应用于现代工程分析中。Åkesson [2] ,Leung [3] ,Casimir等 [4] 在论文中讨论了动态刚度矩阵法的进展。在十九世纪六十年代,Pestel和Leckie [5] 描述了在应用动态传递...
As far as composite beam is concerned, Banerjee and Williams [24] formulated the dynamic stiffness matrix to compute natural frequencies and mode shapes of a cantilever composite Timoshenko beam. The effect of torsion coupling was considered. The computed natural frequencies and mode shapes agreed wel...
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 ...
A dynamic stiffness matrix method for the free vibration of steel-concrete composite beams is proposed based on the Timoshenko beam theory. In this method,... 孙琪凯,张楠,刘潇 - 《Engineering Mechanics / Gongcheng Lixue》 被引量: 0发表: 2022年 连续梁单元动态刚度矩阵数值问题的研究 针对连续Ber...
(1) the stiffness of the torsional spring is taken as uncertain and a random variable is associated to it (parametric probabilistic approach); (2) the whole stiffness matrix is considered as uncertain and a probabilistic model is constructed for the associated random matrix (nonparametric ...
A study of the natural vibration of a continuous Timoshenko curved beam on a Pasternak-type foundation is presented. The dynamic stiffness matrix of a curved member of constant section is derived. An example of a two-span curved beam is given to illustrate the application of the proposed method...
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,...