本课程将基本力学概念应用于一系列结构、机构和机器元素的设计工程问题,并通过力学探索设计评估和分
析的思想。课程内容包含:
◦空间运动学:定轴旋转,瞬时轴,速度,加速度,移动参考系,速度与力旋量。
◦应力分析:屈曲,细长比,疲劳,安全系数,应力状态,3D 应力元素,应力矩阵,平面应力,应力变换,平
面应力的特殊情况,应变变换,破坏准则,冯·米塞斯准则,特雷斯卡屈服准则, 最大法向应力理论。
◦动力学:虚拟功原理,达朗贝尔原理,汉密尔顿原理,牛顿-欧拉方程,欧拉-拉格朗日方程,凯恩方程。
◦振动:简单的谐波运动,阻尼类型,阻尼弹簧质量系统的分析。 离散系统和连续系统。
参考课程:
• SUSTech MAE202: Mechanics of materials
• SUSTech ME301: Dynamics and vibration
• MIT 2.001: Mechanics of materials I
• MIT 2.003J: Dynamics and vibration
This course applies fundamental mechanics concepts to design engineering problems for a range of
structures, mechanisms, and machine elements, and explores the ideas of design evaluation and analysis
through mechanics. Topics include:
◦ 3D kinematics: rotation around a fixed axis, instantaneous axis, velocities, acceleration, moving
reference frames, twists and wrenches.
◦ Stress analysis: Buckling, slender ratio, fatigue, safety factors, stress states, 3D stress elements, stress
matrices, plane stress, stress transformations, special cases of plane stress, strain transformation,
Failure criteria, Von Mises Criteria, Tresca Yield Criterion, Maximum Normal Stress Theory.
◦ Dynamics: Principle of virtual work, d’Alambert principle, Hamilton’s principle, Newton-Euler equation,
Euler-Lagrange equation, Kane’s equation.
◦ Vibrations: Simple harmonic motion, types of dampening, analysis of damped spring-mass systems.
Lumped system and continuous system.
External reference:
• SUSTech MAE202: Mechanics of materials
• SUSTech ME301: Dynamics and vibration
• MIT 2.001: Mechanics of materials I
• MIT 2.003J: Dynamics and vibration