2.003J / 1.053J 2002秋季课程：动力学与振动学(13.013J)(Dynamics and Vibration (13.013J), Fall 2002)
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墨西哥湾内使用的四种深水架构系统的钻油平台。(图片由美国内政部提供)
Four types of deepwater development systems used in the Gulf of Mexico. (Image courtesy of the U.S. Department of the Interior.)
Four types of deepwater development systems used in the Gulf of Mexico. (Image courtesy of the U.S. Department of the Interior.)
课程重点
这门课包含了全部的作业、测验的范例和学生的意见反馈表。
This course includes a full set of assignments, sample exams, and student feedback forms.
This course includes a full set of assignments, sample exams, and student feedback forms.
课程描述
本课程将介绍机械系统集中参数模型的动力学和振动学、物质的三维空间运动学、对于质点系统及刚体系统的力－动量推导(直接法)、牛顿－欧拉公式、质点系统和刚体系统的功-能推导(变分法) (间接法)、虚位移和虚功、质点系统和刚体系统的拉格朗日公式、运动公式的线性化、机械系统的线性稳定分析、机械系统的多自由度线性阻尼集中参数模型的自由和受迫振动、海洋及土木工程结构的应用设计，例如张力腿式石油平台。
Introduction to dynamics and vibration of lumped-parameter models of mechanical systems. Three-dimensional particle kinematics. Force-momentum formulation for systems of particles and for rigid bodies (direct method). Newton-Euler equations. Work-energy (variational) formulation for systems particles and for rigid bodies (indirect method). Virtual displacements and work. Lagrange's equations for systems of particles and for rigid bodies. Linearization of equations of motion. Linear stability analysis of mechanical systems. Free and forced vibration of linear damped lumped parameter multi-degree of freedom models of mechanical systems. Application to the design of ocean and civil engineering structures such as tension leg platforms.
Introduction to dynamics and vibration of lumped-parameter models of mechanical systems. Three-dimensional particle kinematics. Force-momentum formulation for systems of particles and for rigid bodies (direct method). Newton-Euler equations. Work-energy (variational) formulation for systems particles and for rigid bodies (indirect method). Virtual displacements and work. Lagrange's equations for systems of particles and for rigid bodies. Linearization of equations of motion. Linear stability analysis of mechanical systems. Free and forced vibration of linear damped lumped parameter multi-degree of freedom models of mechanical systems. Application to the design of ocean and civil engineering structures such as tension leg platforms.
This subject was originally offered in Course 13 (Department of Ocean Engineering) as 13.013J. In 2005, ocean engineering became part of Course 2 (Department of Mechanical Engineering), and this subject merged with 2.003.
