Decay-rate-constrained design of vibration damping network by a non-convex approach

Vibration design is always an essential issue in the design of mechanical systems. This paper is considered the vibration dumping network design problem via a novel mathematical programming approach. Remarkably, the decay rate of the vibration constraint problem is studied for enhancing design efficiency, where the whole degree of the vibration system design is permitted, in order to considerably minimise the vibration from the dynamic process of the mechanical system. This design challenge may be efficiently handled using the proposed non-convex programming problem by placing the assumption on the vibration elements in a specific form of the non-negative nonlinear power function. In solving this problem, many available computing tools can be easily implemented in formulating and finding this nearly optimal solution. Finally, an example from the automobile engine design process is used to validate the suggested framework.