Modified transfer matrix method for vibration analysis of beam structures including branches and rigid bodies

M Ling, L Yuan, H Zhou, M Ning - Mechanical Systems and Signal …, 2023 - Elsevier
Beam frames can be found in many application scenarios, ranging from big-scale structure
engineering of buildings, bridges to small systems of micromachines, sensors, robotics and …

Free-vibration analysis of stiffened frames

A Ranjbaran - Journal of Engineering Mechanics, 2014 - ascelibrary.org
Stiffeners are used to reduce the probability of local failures in structures. Local stiffening is
of interest in civil, mechanical, and aerospace engineering. In this paper, a stiffener is …

Application of differential transform method to free vibration of gabled frames with rotational springs

M Rezaiee-Pajand, AA Sani… - International Journal of …, 2017 - World Scientific
This paper is concerned with the free vibration of a gabled frame with rotational springs at
intersecting joints. Each member of the frame may have different mechanical or geometrical …

框架结构屈曲的精确有限元求解

陈太聪, 马海涛 - 力学学报, 2009 - lxxb.cstam.org.cn
基于屈曲微分控制方程的一般解, 构造了Euler 梁在轴力作用下的精确形函数,
建立了用于框架结构屈曲分析的精确有限单元, 得到了单元刚度矩阵和几何刚度矩阵的显式表达 …

A force-based higher-order shear beam element model with rational shear stress distribution for accurate analyses of FG sandwich beams

W Li, H Chen, S Chen - arXiv preprint arXiv:2312.14367, 2023 - arxiv.org
This study introduces a force-based higher-order shear deformable beam finite element
model that incorporates a rational shear stress distribution, designed for the precise analysis …

弹性地基上Timoshenko 梁的精确数值解

高兴军, 马海涛, 陈太聪 - 计算力学学报, 2011 - pubs.cstam.org.cn
研究了弹性地基上Timoshenko 梁的高精度有限元分析方法, 利用控制微分方程的基本解建立了
单元形函数, 提出了弹性地基上Timoshenko 梁分析的Trefftz 单元. 通过对引入的非节点自由度 …

[PDF][PDF] 基于映射的高精度混合平面曲梁单元

李文雄, 马海涛 - 科学技术与工程, 2014 - stae.com.cn
摘# 要# 通过映射分别实现初始几何和位移场的描述, 建立考虑初始曲率和厚度影响的任意平面
曲梁的几何关系. 采用满足平衡的内力场, 提出基于A/44.05/:+ B/. CC0/: 变分原理的高精度曲梁 …

Natural vibrations and instability of plane frames: Exact analytical solutions using power series

H Martín, C Maggi, M Piovan, A De Rosa - Engineering Structures, 2022 - Elsevier
The objective of this article is to introduce a practical procedure for determining analytical
solutions (or at least with arbitrary precision) to free vibration and instability problems related …

液化场地中Timoshenko 桩自由振动与屈曲的精确数值解

段玮玮, 黄柱, 何光辉, 李强 - 工程力学, 2013 - engineeringmechanics.cn
基于单桩的Timoshenko 梁模型和桩-土相互作用的Winkler 模型, 建立考虑轴力效应的具有分布
参数的Timoshenko 梁模型微分控制方程, 确定对应的齐次方程的通解, 并以此作为有限单元的 …

[PDF][PDF] 开口薄壁杆件结构稳定分析的精确单元和两步求解算法

李文雄, 马海涛, 高兴军 - 2012 - researchgate.net
本文从控制微分方程的通解出发, 构造了受偏心压力作用开口薄壁杆件的精确形函数,
建立了用于开口薄壁杆件结构稳定性分析的精确有限元, 得到了单元刚度矩阵和几何刚度矩阵的 …