| 变截面连续梁动力特性的半解析解法 |
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| 引用本文： | 张怀静,潘旦光.变截面连续梁动力特性的半解析解法[J].北京科技大学学报,2008,30(6). |
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| 作者姓名： | 张怀静 潘旦光 |
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| 作者单位： | 北京科技大学土木与环境工学院,北京,100083 |
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| 摘 要： | 基于Bernoulli-Euler梁理论,分析了多跨变截面连续梁的动力特性.应用模态摄动基本原理,利用等截面连续梁的模态,将变截面连续梁微分方程的求解转化为代数方程组求解.该方法对于梁的截面函数的连续性要求较少,既适用于截面变化为阶跃形式的梁,也适用于截面函数连续的梁.通过算例分析表明,这一方法可有效地简化计算,同时计算结果具有较高的精度.
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| 关 键 词： | 变截面连续梁 动力特性 半解析解 模态摄动法 |
Semi-analytic solution to dynamic characteristics of non-uniform continuous beams |
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| ZHANG Huaijing,PAN Danguang.Semi-analytic solution to dynamic characteristics of non-uniform continuous beams[J].Journal of University of Science and Technology Beijing,2008,30(6). |
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| Authors: | ZHANG Huaijing PAN Danguang |
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| Institution: | ZHANG Huaijing,PAN DanguangSchool of Civil and Environmental Engineering,University of Science and Technology Beijing,Beijing 100083,China |
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| Abstract: | The dynamic characteristics of multi-span non-uniform continuous beams were analyzed by the Bernoulli-Euler beam theory.Based on the basic principle of modal perturbation,the analytical mode functions of uniform continuous beams were used to transfer the differential vibration equation of non-uniform continuous beams to a set of algebraic equations.In the method,the dynamic characteristics of the beams with complicated section types can be solved effectively,whether the section function is continuous or not.The numerical results of two examples show that the method is simple,practicable and has good precision. |
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| Keywords: | non-uniform continuous beams dynamic characteristics semi-analytic solution mode perturbation |
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