Dynamic design focusing on energy flow of structure

Abstract

In this paper, a concept of sensitivity analysis focusing on vibration energy is proposed. Although research on the vibrational energy flow has been conducted sporadically, the method to control it has not been established. In this study, a sensitivity analysis equation to predict the change in vibration energy due to mass addition and damping is derived, and its validity is examined using the spring-mass system, and appropriate structural changes are discussed. The proposed sensitivity analysis equation is found to be in agreement with the actual structural modification results for the 5-DOF system. Next, structural changes are studied to control the vibrational energy flow in the 10-DOF system. A new path is added to the series spring mass system to reduce the vibration energy flowing to the main path, and the structure is modified to allow the vibration energy to flow to the additional path. After that, using sensitivity analysis, the mass accretion point where the vibration energy in the main path can be reduced in a specific frequency band was investigated, and the vibration energy was reduced. This paper confirms the validity of the proposed sensitivity analysis formulae for mass addition and attenuation addition.