Forced vibration analysis of 1-DOF system constrained to rigid and elastic wall contact condition without friction

Contacts, caused by earthquake or other unknown external forces, between reactor internals can be seen as it does in another type of mechanical components and definitely wear rate is dependent on contact force. Forced vibration of 1 degree of freedom system, which is constrained to contact condition without friction, is analyzed using penalty function method. Unlike ordinary case without contact, the solution of the system with contact condition should satisfty inequality condition. Inequality equation due to contact can be transformed to equality equation considering convex penalty function. The work finds the confident solution using a proposed penalty function and it is believed that this work helps to understand contact problem existed in reactor