文档介绍：Chapter 15: D'Alembert's principle
Theoretical Mechanics
第十五章达朗伯原理
An important theorem of dynamics, D’Alembert’s principle,will be introduced in this chapter. By this principle dynamical problems can be transformed formally formally into those of statics. Then they can be solved by the theorem of equilibrium. Therefore this method to solve the dynamical problems of dynamics is called the dynamic-static method.
Dynamics
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本章介绍动力学的一个重要原理——达朗伯原理。应用这一原理,就将动力学问题从形式上转化为静力学问题,从而根据关于平衡的理论来求解。这种解答动力学问题的方法,因而也称动静法。
动力学
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§15–1 The concept of the inertial force and the
D’Alembert’s principle for one particle
§15–2 D’Alembert’s principle for a system of
particles
§15–3 The simplification of a system of
inertial forces of a rigid body
§15–4 Dynamical reaction of the bearing of a
rigid body under fixed-axis
rotation and the concepts of static
and dynamic equilibrium
The application of D’Alembert’s principle
Chapter 15: D'Alembert's principle
§15–1 惯性力的概念· 质点的达朗伯原理
§15–2 质点系的达朗伯原理
§15–3 刚体惯性力系的简化
§15–4 定轴转动刚体的轴承动反力
静平衡与动平衡的概念
达朗伯原理的应用
第十五章达朗伯原理
§15-1 The concept of the inertial force
and D’Alembert’s principle for a particle
If a man is pushing the cart by hands, then
The es from the inertia of the cart, keep the force diagram as the original motion state, the reaction force to the object (hands) applying the force is called the inertial force of the cart.
Concept of the inertial force of a particle:
If a particle is moving accelerated, the sum of the inertial reactions of the particle to the objects which force it to produce the accelerated motion is called the inertial force of the particle.
1. The concept of the inertial force
Dynamics
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§15-1 惯性力的概念· 质点的达朗伯原理
人用手推车
动力学
力是由于小车具有惯性,力图保持原来的运动状态,对于施力物体(人手)产生的反抗力。称为小车的惯性力。
定义:质点惯性力
加速运动的质点,对迫使其产生加速运动的物体的惯性反抗的总和。
一、惯性力的概念
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[notice]
The inertial force is not the real force acting on the particle, it is the resultant force of reaction of the particle to the object applying the force.