粘弹性
梁(结构)
非线性系统
力矩(物理)
流离失所(心理学)
趋同(经济学)
数学
分数阶微积分
数值分析
数学分析
弯矩
横截面
运动方程
控制理论(社会学)
物理
结构工程
经典力学
计算机科学
工程类
心理学
控制(管理)
量子力学
人工智能
经济
心理治疗师
热力学
经济增长
作者
Hongyu Li,Ning Chen,Yandong Chen,Yongpeng Tai,Yong Zhang
标识
DOI:10.1177/1045389x231213133
摘要
In this paper, we present a generalized model of a viscoelastic beam, which takes into account the influence of axial forces and incorporates a fractional constitutive relationship. In addition, we propose a novel numerical calculation method for analyzing fractional-order viscoelastic beams. This method takes the transverse displacement and bending moment of the beam as state variables, transforms the beam model into a discrete state space equation through the application of the central difference method, and utilizes an improved precise integration algorithm to solve the equation. To evaluate the performance of the method, the responses of the beam under two types of excitations, namely uniformly distributed transverse load and the motion of the support at both ends, are calculated under fixed hinge conditions. The results demonstrate that the present method has excellent accuracy and convergence, and also reveal some nonlinear phenomena of the system.
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