| Analytic Method for the Free Vibration of Plane Frame Structure |
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| 作者姓名： | ZHOU Mao-sen CHEN Zhao-hui |
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| 摘 要： | The analytic method for the free vibration of plane frame structure is presented. It is achieved by transforming the general eigenvalue problem of natural frequency and vibration mode of continuously distributed property system into typical boundary value problem of ordinary differential equation (ODE). A series of ODE, corresponding to the general eigenvalue problem, is formed, and then is solved by an general ordinary differential equation solver-COLSYS. Each component of a frame structure is regarded as an element in the analytic method. This makes it more efficient than that of finite element method which needs to increase elements to get the value of high-class natural frequency and vibration mode accurately. Some applications of the method show that it can solve the free bending vibration of plane-frame structure with various types of displacement constraint. The result indicates that this method is precise and efficient.
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| 关 键 词： | free vibration of plane frame structure boundary value problem of ordinary differential equation ODE solver |
| 修稿时间： | 3/8/2004 12:00:00 AM |
Analytic Method for the Free Vibration of Plane Frame Structure |
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| ZHOU Mao-sen,CHEN Zhao-hui.Analytic Method for the Free Vibration of Plane Frame Structure[J].Storage & Process,2004(7):126-130. |
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| Authors: | ZHOU Mao-sen CHEN Zhao-hui |
| |
| Abstract: | The analytic method for the free vibration of plane frame structure is presented. It is achieved by transforming the general eigenvalue problem of natural frequency and vibration mode of continuously distributed property system into typical boundary value problem of ordinary differential equation (ODE). A series of ODE, corresponding to the general eigenvalue problem, is formed, and then is solved by an general ordinary differential equation solver-COLSYS. Each component of a frame structure is regarded as an element in the analytic method. This makes it more efficient than that of finite element method which needs to increase elements to get the value of high-class natural frequency and vibration mode accurately. Some applications of the method show that it can solve the free bending vibration of plane-frame structure with various types of displacement constraint. The result indicates that this method is precise and efficient. |
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| Keywords: | free vibration of plane frame structure boundary value problem of ordinary differential equation ODE solver |
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