理论力学教学视频,浙大老师讲的

2025-02-08 03:13:11
推荐回答(1个)
回答1:

理论力学是大部分工程技术科学的基础,也称经典力学。其理论基础是牛顿运动定律。
世纪初建立起来的量子力学和相对论,表明牛顿力学所表述的是相对论力学在物体速度远小于光速时的极限情况,也是量子力学在量子数为无限大时的极限情况。对于速度远小于光速的宏观物体的运动,包括超音速喷气飞机及宇宙飞行器的运动,都可以用经典力学进行分析 。
理论力学从变分法出发,最早由拉格朗日《分析力学》作为开端,引出拉格朗日力学体系、哈密顿力学体系、哈密顿-雅克比理论等,是理论物理学的基础学科。哈密顿方法是量子力学中的正则量子化的起点,拉格朗日方法是量子力学中路径积分量子化的起点。
理论力学(theoretical mechanics)是研究物体机械运动的基本规律的学科。力学的一个分支。它是一般力学各分支学科的基础。理论力学通常分为三个部分:静力学、运动学与动力学。静力学研究作用于物体上的力系的简化理论及力系平衡条件;运动学只从几何角度研究物体机械运动特性而不涉及物体的受力;动力学则研究物体机械运动与受力的关系。动力学是理论力学的核心内容。理论力学的研究方法是从一些由经验或实验归纳出的反映客观规律的基本公理或定律出发,经过数学演绎得出物体机械运动在一般情况下的规律及具体问题中的特征。理论力学中的物体主要指质点、刚体及刚体系,当物体的变形不能忽略时,则成为变形体力学(如材料力学、弹性力学等)的讨论对象。静力学与动力学是工程力学的主要部分[1] 。
理论力学建立科学抽象的力学模型(如质点、刚体等)。静力学和动力学都联系运动的物理原因——力,合称为动理学。有些文献把kinetics和dynamics看成同义词而混用,两者都可译为动力学,或把其中之一译为运动力学。此外,把运动学和动力学合并起来,将理论力学分成静力学和动力学两部分。
理论力学依据一些基本概念和反映理想物体运动基本规律的公理、定律作为研究的出发点。例如,静力学可由五条静力学公理演绎而成;动力学是以牛顿运动定律、万有引力定律为研究基础的。理论力学的另一特点是广泛采用数学工具,进行数学演绎,从而导出各种以数学形式表达的普遍定理和结论 。

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