Dynamic analysis and design of mechanical and micromechanical systems including rotating components

这项研究的目的是从分析和实验两方面研究机械系统的动态行为，包括旋转部件的动力学，无论是大的还是微小的。振动和噪声问题是工业机械运行中不可或缺的一部分，对其运行、工作环境和生产造成严重影响。建议的研究包括：(1)工业和航空航天结构的动力响应分析和稳定性研究。(Ii)飞机机身和汽车舱内结构对声学载荷和噪音传播的响应研究。(Iii)钻孔和深孔加工中的振动问题，主动控制钻孔和钻杆的振动。(Iv)飞机起落架的摆振动力学及摆振控制。(V)液压管网中的振动和不稳定性，包括管道系统中的发散和颤振类型的不稳定性。(6)热声冷却装置的设计、分析和开发。(Vii)MEMS(微电子机械系统)和光学MEMS器件在静电场作用下的动力学，包括利用MEMS制造技术对器件进行边界调节。上述研究的科学方法是：(I)经典能量法和边界特征正交多项式结合变分公式。(Ii)有限元方法，当使用经典和近似方法难以获得解时。(3)数值解和模拟用于解决涉及非线性微分方程组的问题，以及在涉及耦合动力学的问题中遇到的线性和非线性微分方程组的同时求解。分析研究将通过实验调查得到验证。硕士和博士级别的HQP(高素质人员)培训将是上述研究的组成部分。

The objectives of the proposed research are to investigate both analytically and experimentally the dynamic behavior of mechanical systems, both large and microdimensionally small, including the dynamics of rotating components. Vibration and noise problems are an integral part of the operation of industrial machines, and pose serious problems affecting their operation, the working environment and production.The proposed studies include: (i) Dynamic response analysis and stability studies of industrial and aerospace structures. (ii) Response of structures to acoustic loading and noise transmission studies in aircraft fuselages, and automobile cabins.(iii) Vibration problems in drilling and deep hole machining, active control of boring and drilling bar  vibrations. (iv) Shimmy dynamics and control of shimmy vibrations in aircraft landing gears. (v)Vibrations and instabilities in the hydraulic piping networks, including divergence and flutter type of instabilities in the pipe systems. (vi) Design, analysis and development of thermoacoustic cooling devices. (vii) Dynamics of MEMS (Micro Electro Mechanical Systems) and Optical MEMS devices subjected to electrostatic fields, including boundary conditioning of the devices using the MEMS fabrication techniques.The scientific approaches for the above studies are:(i) Classical energy methods along with Boundary Characteristic Orthogonal Polynomials coupled with variational formulations.(ii) Finite Element Method, whenever it is difficult to obtain solutions using the classical and approximate methods. (iii) Numerical solutions and simulations  to solve problems involving nonlinear differential equations, simultaneous solution of linear and nonlinear differential equations encountered in problems involving coupled  dynamics. The analytical studies will be validated using experimental investigations.HQP (Highly Qualified Personnel) Training at the Masters and Doctoral levels will be an integral part of the above research.