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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.
Based on the Bernoulli-Euler beam theory, the dynamic behavior of continuous beams with multi-span cross-sections is analyzed. By applying the fundamental principle of modal perturbation and using the mode of continuous beam with constant cross-section, the differential equation of variable section continuous beam is transformed into algebraic equations This method is less demanding on the continuity of the cross-sectional function of the beam, which is not only applicable to the beam with the cross-section changing to the step form but also to the beam with the continuous cross-section function. The example shows that this method can be simplified effectively Calculation, while calculating the results with high accuracy.