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

拟议的研究的目标是调查分析和实验的机械系统的动态行为，无论是大的和微尺寸小，包括旋转部件的动态。振动和噪音问题是工业机器运作的一个组成部分，对机器的运作、工作环境和生产造成严重影响。建议的研究包括：（i）工业和航空航天结构的动态响应分析和稳定性研究。(ii)飞机机身和汽车座舱结构对声载荷的响应和噪声传播研究。(iii)钻削和深孔加工中的振动问题，镗削和钻杆振动的主动控制。(iv)飞机起落架摆振动力学与摆振控制。（v）水力管道网络的振动和不稳定性，包括管道系统中的发散和颤振类型的不稳定性。(vi)热声冷却装置之设计、分析与发展。(vii)MEMS（Micro Electro Mechanical Systems）和光学MEMS器件在静电场作用下的动力学，包括MEMS制造技术对器件的边界处理，研究的科学方法有：（i）经典能量法沿着边界特征正交多项式和变分法。(ii)有限元法，每当它是很难获得的解决方案，使用经典和近似的方法。(iii)数值解和模拟解决涉及非线性微分方程的问题，同时解决涉及耦合动力学问题中遇到的线性和非线性微分方程。分析研究将通过实验研究进行验证。硕士和博士水平的HQP（高素质人才）培训将是上述研究的一个组成部分。

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.