基于传递矩阵法的变截面连续梁动力分析方法
发布时间：2018-09-08 09:42
【摘要】：从建立更为快捷的变截面连续梁动力分析方法出发,以某一类常见结构形式的变截面梁为切入点,基于传递矩阵法建立了变截面连续梁的节段式传递矩阵推导方法、自振特性分析方法,研究了移动弹簧质量作用下的动力时程计算方法。首先,由变截面梁横向弯曲振动微分方程出发,建立节段式单元传递矩阵的推导方法;然后,建立变截面连续梁整体传递矩阵的构建方法,完成其自振特性分析;之后,结合Newmark-β法完成移动弹簧质量激励下变截面连续梁的动力时程计算;最后,以MATLAB为平台开发了适用于变截面连续梁动力分析的数值仿真模拟程序。计算结果表明:该变截面梁动力分析方法不仅正确可靠,相比于有限元法还更为简单、高效,具有一定的应用前景。
[Abstract]:Starting from the establishment of a more rapid dynamic analysis method for continuous beams with variable cross-section, a new method for the derivation of segmental transfer matrix of continuous beams with variable cross-section is established based on the transfer matrix method. The dynamic time history calculation method under the action of moving spring mass is studied. First of all, based on the differential equation of transverse bending vibration of beams with variable cross-section, the derivation method of the transfer matrix of segmental elements is established. Then, the method of constructing the whole transfer matrix of continuous beams with variable section is established, and the analysis of its natural vibration characteristics is completed. Combined with Newmark- 尾 method, the dynamic time history of a continuous beam with variable cross section excited by moving spring mass is calculated. Finally, a numerical simulation program for dynamic analysis of continuous beam with variable section is developed on the platform of MATLAB. The results show that the dynamic analysis method is not only correct and reliable, but also simpler and more efficient than the finite element method, and has a certain application prospect.
【作者单位】： 西南交通大学土木工程学院;
【分类号】：U441.3
本文编号：2230158
[Abstract]:Starting from the establishment of a more rapid dynamic analysis method for continuous beams with variable cross-section, a new method for the derivation of segmental transfer matrix of continuous beams with variable cross-section is established based on the transfer matrix method. The dynamic time history calculation method under the action of moving spring mass is studied. First of all, based on the differential equation of transverse bending vibration of beams with variable cross-section, the derivation method of the transfer matrix of segmental elements is established. Then, the method of constructing the whole transfer matrix of continuous beams with variable section is established, and the analysis of its natural vibration characteristics is completed. Combined with Newmark- 尾 method, the dynamic time history of a continuous beam with variable cross section excited by moving spring mass is calculated. Finally, a numerical simulation program for dynamic analysis of continuous beam with variable section is developed on the platform of MATLAB. The results show that the dynamic analysis method is not only correct and reliable, but also simpler and more efficient than the finite element method, and has a certain application prospect.
【作者单位】： 西南交通大学土木工程学院;
【分类号】：U441.3
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