Research Of Receptance Method Of Structure Vibration Control

The problem of structure vibration control always a hot topic in engineering. after the system is formed, reconcilability of dynamic system is a research direction of vibration control. traditional method of structure vibration control is build a finite element modal of mathematics, it is useful for single structure, but usually have no invalidation for complex structure. because of reduce the freedom of system and get the modal which occur a large difference with actual structure, which will result in mistakes, especially, large and complex structure has not been built the modal. for those questions ,this paper provided a method-receptance method, it can solve the above question. we can reassign the zero or pole of system by the this method and achieve the vibration control.The receptance method is mainly objective of this paper, in order to assign the zero or pole to solve the structure vibration control, this dissertation is composed of several parts to discuss this method and its application.1. Knowing the meaning of structure vibration control and background in engineering; the developing and applicable matter of structure vibration control method and active or passive method; the matter of research about pole or/and zero in vibration control.2. In vibration control system, on the multi degree-of–freedom linear system, the relative transform between eigenvalue, eigenvector and quadratic eigenvalue; using the Cramer'rule and Sherman-Morrison'rule to conclude the receptance equation of the structure which was changed and matrix's rank is 1 by the matrix of frequency response, and discuss the matter about at a point, a different coordinate or coordinate.3. Calculating the receptance value of modified system by the receptance method and solve the characterize parameter of additional structure element, achieved the control of structure control. When the modified matrix's rank is 1.As a multi degree spring-mass system, calculated the different cases when the modification is a point mass or a single spring in order to achieve the assignment of nature frequency of system. The example demonstrated the method is applicable.4. Further expend the receptance method, when modified matrix's rank greater than 1,using the Woodbury formula to deduce the relation about the receptance of the original system and modified system, research the case of modification between different freedom at two place respectively. The example indicated the receptance method can achieve the nature frequency of system and local vibration control. This way can be applied for the modification of other rank.5. In active vibration control, every state variable will multiply the coefficient of response back to the state feedback, then feed back to the input and form the control force. As the control input of the controlled system, close-loop system will form. Using the rank-one modification transformed the form of close-loop dynamic stiffness in order to assign the pole and zero ,concluded the form about the close-loop receptance matrix and original system matrix, get the gain of state feedback ,confirmed the method is applicable ,and find a example to demonstrate the method is validate.6. At last the relation work of this paper is summarized, and the future question on vibration control method is proposed.