| 非惯性系动力学的高阶非完整系统的广义Volterra型方程 |
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| 引用本文： | 罗绍凯.非惯性系动力学的高阶非完整系统的广义Volterra型方程[J].山东大学学报(工学版),1992(2). |
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| 作者姓名： | 罗绍凯 |
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| 作者单位： | 河南商丘师范专科学校 |
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| 摘 要： | 建立了变质量力学系统相对于非惯性系的万有D′Alembert变分原理,得到了至今最具一般意义的变质量任意阶非线性非完整力学系统相对于非惯性系的广义Volterra型方程。以往的Volterra方程均为本文的特款。
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| 关 键 词： | 伏特拉积分方程 广义变分原理 变质量系统 约束条件 广义解 |
GENERALIZED VOLTERRA'S EQUATIONS OF HIGHER-ORDER NONHOLONOMIC SYSTEM IN NONINERTIAL REFERENCE FRAME |
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| Luo Shaokai.GENERALIZED VOLTERRA''''S EQUATIONS OF HIGHER-ORDER NONHOLONOMIC SYSTEM IN NONINERTIAL REFERENCE FRAME[J].Journal of Shandong University of Technology,1992(2). |
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| Authors: | Luo Shaokai |
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| Affiliation: | Shanqiou Norm. Coll. |
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| Abstract: | The universial D' Alembert principle of variable mass mechanical system in noninertial reference frame is obtained. The generalized Volterra' s equations of variable mass arbitrary order nonlinear nonholonomic system in noninertial reference frame are derived. Previous all the Volterra's equations are special cases of the obtained equations. |
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| Keywords: | Volterra integral equations Generalized variational principle Variable mass system Constraint conditions Generalized solutions |
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