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本文用半解析半数值方法求解粘弹性非均匀平面地基的动力柔度系数。将地基划分为有限个水平条带,位移函数表示为三次样条函数与富里叶级数的乘积形式,应用复数阻尼理论的拉格朗日方程,使问题归结为求解若干次低阶复代数方程组,很容易利用微机实现。文中完成了一系列算例,考察了方法的计算精度,并分析了夹层对地基柔性的影响,从而为研究结构与复杂地基的相互作用建立了可行的途径。
In this paper, semi-analytical semi-numerical method is used to solve the dynamic compliance coefficient of viscoelastic non-uniform plane foundation. The foundation is divided into a limited number of horizontal strips. The displacement function is expressed as a product of a cubic spline function and the Fourier series. Applying the Lagrange equation of the complex damping theory, the problem is reduced to solving several low-order complex algebraic equations. Group, it is easy to use the computer to achieve. In this paper, a series of examples are completed, the calculation accuracy of the method is examined, and the influence of the sandwich on the flexibility of the foundation is analyzed, thus establishing a feasible approach for studying the interaction between the structure and the complex foundation.