Theoretical Mechanics
1,The object of theoretical mechanics
2,The task and content of theoretical mechanics
3,The basic logical concepts in theoretical mechanics
4,A brief history of theoretical mechanics
5,Methods of modern teaching of theoretical
mechanics
Introduction
一、理论力学的研究对象
二、理论力学的任务及其研究内容
三、理论力学的研究方法
四、理论力学的发展史
五、理论力学现代教学研究
绪 论
Mechanical motion,
Any change in the relative positions of material
bodies in space which occurs in the course of
time,
1,The object of theoretical mechanics
Theoretical Mechanics,
The science of the general laws of mechanical
motions of material bodies,
机械运动,是物体在空间的位置随时间的变化。
一、理论力学的研究对象
理论力学,是研究物体机械运动一般规律的一门学科。
1) Theoretical mechanics is a technical basic course with
intensive use of mathematical methods,
2,The task and content of theoretical mechanics
2) Theoretical mechanics is the important foundation of many
advanced courses,
such as,material mechanics,mechanical theory,
mechanical components,structural mechanics,elasticity
theory,fluid mechanics,mechanical oscillations,etc,
Technical
basic courses
Basic courses
advanced courses
Political courses Foreign languages
1,理论力学是一门理论性较强的技术基础课


专 业 课
技 术 基 础 课
基 础 课


二、理论力学的任务及其研究内容
2,理论力学是很多专业课程的重要基础
例如:材料力学、机械原理、机械零件、结构力学、
弹性力学,流体力学,机械振动等一系列后续课程的重
要基础。
Statics,
Kinematics,
Dynamics,
Studies the laws of equilibria of material bodies
subjected to the action of forces,the general character
of forces and the methods to simplify force systems,
Deals with the general geometrical description of the
motions of bodies,does not study the reasons of their
motions,
Studies the laws of motion of material bodies under
the action of forces,
3) The content of theoretical mechanics
静力学,
运动学,
动力学,
研究物体在力系作用下的平衡规律,同时也研究力
的一般性质和力系的简化方法等。
研究物体运动的几何性质,而不研究引起物体运动
的原因。
研究受力物体的运动变化与作用力之间的关系。
3.理论力学的研究内容
3,The basic logical concepts in theoretical mechanics
Theoretical mechanics starts with practical tasks,Some
principles then are found by abstraction,synthesis and
induction,Using mathematical deduction and logic inference,
some theorems and conclusions are obtained making up a
theoretical system,Finally,the validity of the theory is validated
by experiments,
三、理论力学的研究方法
是从实践出发,经过抽象化、综合、归纳、建立公
理,再应用数学演绎和逻辑推理而得到定理和结论,形
成理论体系,然后再通过实践来验证理论的正确性。
The foundation of statics is given by the works of Archimedes
(ancient Greek,287~212 B.C.),
Vinci (Italian,1452~1519) studied the friction of motion,statics and
force moments,
Copernicus (Polish astronomer,1473~1543) founded the universal
heliocentric theory,
Kepler (German,1571~1630) discovered the three laws of the
motion of planets,
Galilei (Italian,1564~1642) founded the law of a free falling body,
of inertia and defined the concept of acceleration,
4,A brief history of theoretical mechanics
早在 (公元前 287~212)古希腊阿基米德著的, 论比重, 就奠
定了静力学基础。
意大利的达芬奇 (1452~1519)研究滑动摩擦、平衡、力矩。
波兰的哥白尼 (1473~1543)创立宇宙“日心说”。
德国的开普勒 (1571~1630)提出行星运动三定律。
意大利的伽利略 (1564~1642)自由落体规律、惯性定律及加速
度的概念。
四、理论力学的发展史
The great English scientist Newton(1643~1727) published the book
Mathematical Principles of Natural Philosophy in 1687,It sums up
all his studies and brings forward the three fundamental laws of
mechanics,the law of universal gravitation and the laws at celestial
mechanics,He is the founder of mechanics,
Bernoulli (Swiss,1667~1748) found the principle of virtual
displacements,
Euler (Swiss,1707~1783) published the book Mechanics which used
differential equations to study mechanics,
D’Alembert (French,1717~1785) evolved d’Alembert’s principle,
Lagrange (French,1736~1813) brought forward the lagrange equations
of the second kind,
英国伟大科学家牛顿 (1643~1727)在 1687年版的, 自然哲学的
数学原理, 一书总其大成,提出动力学的三个基本定律,
万有引力定律,天体力学等。是力学奠基人。
瑞士的伯努利 (1667~1748)虚位移原理。
瑞士的欧拉 (1707~1783)著出, 力学, 用微分方程研究。
法国达朗伯 (1717~1785)名著, 动力学专论, 达朗伯原理。
法国拉格朗日 (1736~1813)提出第二类拉格朗日方程。
5,Methods of modern teaching of theoretical mechanics
CAI (Computer-aided instruction.) teaching,
multimedia teaching,etc,
五、理论力学现代教学研究
CAI教学,多媒体教学等。