摘要
应用最小余能原理的理论和方法,对Timoshenko梁进行动力分析,计算了简支矩形截面Timoshenko梁的固有频率;通过算例讨论了梁的长度、截面高度和阶数对固有频率的影响,并作出了固有频率的相对误差E(ω)%随阶数n和梁长l与矩形截面高h之比的变化曲线,固有频率ω随阶数n、梁长l以及截面高h的变化曲线.通过分析计算和作图,得到一些实用性结论.
In this paper, the minimum excess principle is used in the analysis of dynamic of Timoshenko beam. The natural frequency of Timoshenko beam of the simple support rectangle section is calculated, and the influences of the length of the beam, the height of the section and order on the natural frequency are discussed with concrete examples; The three-dimensional change curve is drawn on the natural frequency relative error E(ω)% with n and l/h, and the change curve on ω with n, l and h is also drawn. Some practical conclusions are reached by analyzation calculation and graph.
出处
《武汉理工大学学报（交通科学与工程版）》
2005年第3期473-475,共3页
Journal of Wuhan University of Technology（Transportation Science & Engineering）
基金
广东省揭阳市2004年科技三项费用项目基金资助(批准号:200408)
