变截面框支剪力墙、落地剪力墙和壁式框架结构水平振动的常微分方程求解器解法 |
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引用本文: | 袁驷,包世华. 变截面框支剪力墙、落地剪力墙和壁式框架结构水平振动的常微分方程求解器解法[J]. 工程力学, 1991, 0(3) |
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作者姓名: | 袁驷 包世华 |
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作者单位: | 清华大学土木系,清华大学土木系 |
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摘 要: | 本文将阶形变截面的框支剪力墙和落地剪力墙合并成一个阶形Timoshenko组合杆,壁式框架视为它的弹性地基,底层结构视为它的弹性支座,建立了水平振动方程,用常微分方程求解器解特征值问题,求得水平振动的自振周期和振型。
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关 键 词: | 变截面剪力墙 水平振动 微分方程求解器 |
HORIZONTAL VIBRATION FOR SHEAR WALL—SHEAR WALL ON FLEXIBLE SUPPORT—WALLED FRAME COOPERATING SYSTEM WITH STEPPED CROSS—SECTION BY ODE SOLVER |
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Abstract: | In this paper, firstly the cooperating system of shear wall, shear wall on flexible support and walled frame with stepped cross—section are simplified as a Timoshenko canti—lever beam on continuouselastic foundation with spring supports at the bottom end. Equations of horizontal vibration have been derived. Secondly, using the ODE (Ordinary Differential Equation) Solver, which is a program developed for solving various ODE, the fore five vibration frequencies and vibration modes have been obtained. |
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