| 非保守系统的拟Hamilton原理及其应用 |
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| 引用本文： | 赵淑红,梁立孚,周平.非保守系统的拟Hamilton原理及其应用[J].东北农业大学学报,2009,40(3). |
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| 作者姓名： | 赵淑红 梁立孚 周平 |
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| 作者单位： | 1. 哈尔滨工程大学建筑工程学院,哈尔滨,150001;东北农业大学工程学院,哈尔滨,150030
2. 哈尔滨工程大学建筑工程学院,哈尔滨,150001 |
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| 基金项目： | 国家自然科学基金，博士点资助课题，高等学校博士学科点专项科研基金 |
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| 摘 要： | 按照广义力和广义位移之间的对应关系,将弹性动力学的基本方程乘上相应的虚量,然后积分,代数相加,并考虑到体积力和面积力均为非保守力,建立了非保守弹性动力学系统的拟Hamilton原理和拟余Hamilton原理。应用拟Hamilton原理和拟余Hamilton原理研究不同性质的非保守动力系统的算例,表明不同性质的非保守动力系统的拟Hamilton原理和拟余Hamilton原理均可写成统一的形式。
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| 关 键 词： | 拟Hamilton原理 拟余Hamilton原理 非保守系统 阻尼 伴生力 |
Quasi-Hamilton principle and its application on non-conservative systems |
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| ZHAO Shuhong,LIANG Lifu,ZHOU Ping.Quasi-Hamilton principle and its application on non-conservative systems[J].Journal of Northeast Agricultural University,2009,40(3). |
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| Authors: | ZHAO Shuhong LIANG Lifu ZHOU Ping |
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| Institution: | 1. College of Civil Engineering;Harbin Engineering University;Harbin 150001;China;2. Engineering College;Northeast Agricultural University;Harbin 150030;China |
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| Abstract: | According to the corresponding relations between generalized forces and generalized displace- ments, the basic equations of elasto-dynamics were multiplied by corresponding virtual quantities, integrated and then added algebraically. Considering that body forces and surface forces were both non-conservative force, the quasi-Hamilton principle and the quasi-complementary Hamilton principle of non-conservative elasto-dynamics systems were established. Examples of different non-conservative systems were studie... |
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| Keywords: | quasi-Hamilton principle quasi-complementary Hamilton principle non-conservative systems damping follower force |
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