Comparison study of modal synthesis methods

H. M. Hu, Ming-Shaung Ju, Y. G. Tsuei

Research output: Chapter in Book/Report/Conference proceedingConference contribution


It is difficult to find the dynamic characteristics of a complex structure by analytical method. In recent years, the modal synthesis techniques have been developed to determine the characteristics of a complex structure. The purpose of this study is the comparison of existing methods, namely, Leuridan's method, Receptance method and Modal Force Technique (MFT) by using experimental data. All of the three methods determine the dynamic characteristics of the synthesized structure by using the Frequency Response Functions (FRFs) of the substructures directly. The modal testing is used to obtain the FRF of each substructure and the finite element analysis is utilized to determine the rotational FRF which is difficult to obtain by modal testing. Three examples are presented to investigate the differences among these methods. We find that the natural frequencies of a complex structure can be calculated by the determinant of the modal force matrix. The modal parameters of a synthesized structure can be determined by Receptance method and MFT directly. From these modal parameters the FRF of the complex structure can be regenerated. On the other hand, the more accurate FRF of the synthesized structure can be directly obtained by using Leuridan's Method. However, MFT is much easier for determining the natural frequencies of a structure which has more than two substructures.

Original languageEnglish
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
Editors Anon
PublisherPubl by Society of Photo-Optical Instrumentation Engineers
Number of pages6
Editionpt 2
ISBN (Print)0912053410
Publication statusPublished - 1993
EventProceedings of the 11th International Modal Analysis Conference - Kissimmee, FL, USA
Duration: 1993 Feb 11993 Feb 4


OtherProceedings of the 11th International Modal Analysis Conference
CityKissimmee, FL, USA

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering
  • Condensed Matter Physics


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