An Algebraic Method for Harmonic Responses based on Extended Hybrid Expansion Method

Abstract

Abstract. An algebraic method is presented for harmonic responses analysis. This paper is aiming at improving the accuracy of results obtained by the extended hybrid expansion method. Based on modal superposition and Neumann expansion theorem, the high and low modal can be truncated by the proposed method. Meanwhile, how to reduce the truncation error is also our pivotal topic. According to the accuracy of the results, two methods have been compared in several different situations. In the end, the results of simulation experiments show clearly the correctness and effectiveness of the improved method.