| 弹性动力学中的瑞利－里兹法 |
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| 引用本文： | 黄永强,赵晓云,陈树勋. 弹性动力学中的瑞利－里兹法[J]. 河北理工学院学报, 1996, 0(2) |
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| 作者姓名： | 黄永强 赵晓云 陈树勋 |
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| 摘 要： | 瑞利－里兹法（Ｒａｙｌｅｉｇｈ－Ｒｉｔｚｍｅｔｈｏｄ）是变分问题的直接解法，它可以用来求弹性力学问题的近似解，也可以推广到弹性动力学中去。但在机械振动学和结构动力学的文献中，对于这一方法的数学概念和操作的技巧阐述得都不够详尽，本文就是为了补足这一缺憾而作，并通过寻求变截面梁的振动的近似解加以说明。
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| 关 键 词： | 变分原理，泛函，振动 |
RAYLEIGH-RITZ METHOD IN ELASTIC DYNAMICS |
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| Huang Yongqiang,Zhao Xiaoyun, Chen Shuxun. RAYLEIGH-RITZ METHOD IN ELASTIC DYNAMICS[J]. Journal of Hebei Institute of Technology, 1996, 0(2) |
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| Authors: | Huang Yongqiang Zhao Xiaoyun Chen Shuxun |
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| Affiliation: | Huang Yongqiang;Zhao Xiaoyun; Chen Shuxun(Department of Machinery) (Department of Basic Courses) |
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| Abstract: | Rayleigh-Ritz Method is a direct solving process for calculus of variations. It canbe used to solve the problems of elastic mechanics for approximate solutions and also spreaded to elastic dynamics. But in some literature, it isn't explained thoroughly in the math concept and operating technique. This paper will give a distinct explanation by solving the problem of vibration of beams with uneven sections for the approximate solutions. |
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| Keywords: | Theory of calculus of variations Functional Vibration |
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