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温克勒弹性地基上双层均质梁的基频分析
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作者 赵照 《数学理论与应用》 2001年第3期75-78,共4页
文中利用达朗贝 (d Alembert)原理建立了置于温克勒 (winkler)弹性地基上具有弹性联系的均质双层矩形截面梁体系的自由振动的微分方程式。利用伽辽金 (Galerkin)法推出确定该双层梁体系自由振动频率的行列式 ,给出特征方程。作为算例 ,... 文中利用达朗贝 (d Alembert)原理建立了置于温克勒 (winkler)弹性地基上具有弹性联系的均质双层矩形截面梁体系的自由振动的微分方程式。利用伽辽金 (Galerkin)法推出确定该双层梁体系自由振动频率的行列式 ,给出特征方程。作为算例 ,文中对弹性地基上的双层均质梁 ,在简支边界条件下的基频进行了计算。所得结果 ,在不考虑梁间弹性联系的特殊情况下 ,与里兹 (Ritz) 展开更多
关键词 振动动力学 结构系统 弹性梁 振动结构 达朗贝原理 温克勒弹性地基 双层均质梁 基频分析 偏微分方程
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Kineto-static analysis of a novel high-speed parallel manipulator with rigid-flexible coupled links 被引量:2
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作者 孙涛 宋轶民 阎凯 《Journal of Central South University》 SCIE EI CAS 2011年第3期593-599,共7页
A novel high-speed parallel kinematic machine (PKM) named Delta-S parallel manipulator is proposed, which consists of a fixed base connected to a moving platform through three limbs with identical topology. Each lim... A novel high-speed parallel kinematic machine (PKM) named Delta-S parallel manipulator is proposed, which consists of a fixed base connected to a moving platform through three limbs with identical topology. Each limb is composed of one driving ann and one follower arm, herein, the latter includes two strings and one middle rod, all located in a same plane. Compared with similar manipulators with uniform parameters, the novel and unique topology as well as the addition of two strings of Delta-S manipulator can remove the clearance of the spherical joints, reduce the inertial load of components further, improve the positioning accuracy and dynamic performance, and so on. In order to formulate the kineto-static model of Delta-S manipulator, the kineto-static analyses and models of the driving arm, the generalized follower and the moving platform can be carried out by the D'ALEMBERT principle. For the sake of obtaining the force analytic results of strings, the deformation compatibility condition of strings and the middle rod are determined. Furthermore, in virtue of the assumption of small deformation and the linear superposition principle, the minimal pre-tightening force of the strings is calculated. The main results include that the loads of the strings and the middle rod must be larger than "zero" and the pre-tightening force over the workspace must be larger than the minimal pre-tightening force at any time within the workspace, which lay the foundation for the dynamic analysis and the prototype manufacture of the Delta-S manipulator. 展开更多
关键词 parallel kinematic machines (PKMs) Delta-S manipulator kineto-static analysis deformation compatibility condition pre-tightening force
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