Dynamic Analysis Of Structures Based On The Damping Optimization

It is a common method in engineering to reduce the vibration of structure with damper. The proportional damping assumption used in dynamical analysis does not match the requirement of accuracy. Structural damping ratio is one of the important parameters of the dynamic performance. It has a great influence to the dynamic response. Trough designing the modal damping ratio, it can reduce the response selectively and make the structure match many different requirements. In the traditional optimization methods, it is difficult to describe the relationship between modal damping ratio and structural parameters. The expressions of the location sensitivities of modal damping factors relative to the dampers are derived, which could decide the placement and quantity optimization of dampers in vibration reduction of structures. This paper focuses on damping optimization and structural dynamic analysis, include:1. The expression of the location sensitivity of modal damping factors relative to the dampers are derived by using the analytic method.2. The aim of the method is to adjust the modal damping factors of the systems to the max values by attaching dampers to the optimal locations. And this paper analyzes a truss structure for an example.3. In case of a flat structure, another method was raised that the decision of damper quantity could be fulfilled by iteration of Nastran and MATLAB, in which way the optimized structure by dampers will show the required damping coefficients.4. Finally, this paper analyzes the standard model of the aircraft, for an example, by using the above method of damping optimization.This method is simple and clear, not only can analyze discrete structure, but also analyze any complex structure.