ODE求解器求解高层双肢剪力墙结构稳定特征值问题

本文在用连续介质法推导出高层双肢剪力墙结构稳定特征方程的基础上，用常微分方程（简称：ＯＤＥ──ＯｒｄｉｎａｒｙＤｉｆｆｅｒｅｎｔｉａｌＥｑｕａｔｉｏｎ）求解器研究该结构的稳定特征值问题。首先，将该特征值问题归结为标准的非线性ＯＤＥ边值问题；然后用ＯＤＥ求解器求解这一等价的非线性问题。得到的结果与加权余量法和有限差分法结果进行比较，吻合得很好，表明稳定特征值问题能够凭借ＯＤＥ求解器的功效得以精确、可靠、方便地求解。

EIGENVALUE OF STABILITY OF COUPLED SHEAR WALL TALL BUILDING BY USING ODE SOLVER

In this paper, a stable characteristic equation for coupled shear wall tall duilding is derived by idealizing the structure as a shearflexure cantilever and adopting continuous medium assumptions. And the method of ordinary differential equations(ODEs) solver is employed to study the eigenproblem of stability. First, the eigenproblem should be transformed into the 'standard' nonlinear problem of ODEs boundary value. Then, the equivalent nonlinear problem is computed by using modified ODE solver. In comparison with the results calculated by Galerkin method of weighted residuals and finite difference method shows that the existing ODE solver can conveniently be taken for accurate and reliable solution of the eigenproblem of stability.