Optimization for Vibration Isolation.
Abstract
Algorithms have been developed which minimize the forced vibrational response of structural systems. The constraints which can be used are displacements or accelerations and natural frequencies. The design variables are linear changes to mass, stiffness or damping matrices. The constraints can be expressed in either the time or frequency domain and the cumulative constraint is used to measure the amount of constraint violation. It is shown that the variation of the displacement or acceleration constraints are shallow in reciprocal design variables. The objective function is a design variable which represents a value that keeps either displacements or acceleration less than a specified maximum value. A sequence of linear programs is formulated to take advantage of the almost linear character of the vibration isolation problem. The algorithms used in the displacement or acceleration constraints are general and consistent with algorithms that have been developed for weight minimizations, but have not been used for this purpose in the study. These algorithms have been studied for transient response, frequency response and stationary random. The results shown for the minimization of vibration response are very robust. Only passive vibration isolation has been studied and no attempt was made to consider ill conditioned problems.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1982
- Accession Number
- ADA122259
Entities
People
- W. V. Nack