Modal cost analysis for simple continuaThe most popular finite element codes are based upon appealing theories of convergence of modal frequencies. For example, the popularity of cubic elements for beam-like structures is due to the rapid convergence of modal frequencies and stiffness properties. However, for those problems in which the primary consideration is the accuracy of response of the structure at specified locations, it is more important to obtain accuracy in the modal costs than in the modal frequencies. The modal cost represents the contribution of a mode in the norm of the response vector. This paper provides a complete modal cost analysis for simple continua such as beam-like structures. Upper bounds are developed for mode truncation errors in the model reduction process and modal cost analysis dictates which modes to retain in order to reduce the model for control design purposes.
Document ID
19880059177
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Hu, A. (Purdue Univ. West Lafayette, IN, United States)
Skelton, R. E. (Purdue Univ. West Lafayette, IN, United States)
Yang, T. Y. (Purdue University West Lafayette, IN, United States)