2017, Volume 12, Issue 2
Frontiers of Mechanical Engineering >> 2017, Volume 12, Issue 2 doi: 10.1007/s11465-017-0418-1
Similitude design for the vibration problems of plates and shells: A review
1. Department of Automatic Control and System Engineering, Sheffield University, Sheffield S13JD, UK.
2. School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China.
3. School of Mechanical Engineering, Dalian University of Technology, Dalian 116023, China.
4. AECC Shenyang Aero-engine Institute, Shenyang 110042, China
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Abstract
Similitude design plays a vital role in the analysis of vibration and shock problems encountered in large engineering equipment. Similitude design, including dimensional analysis and governing equation method, is founded on the dynamic similitude theory. This study reviews the application of similitude design methods in engineering practice and summarizes the major achievements of the dynamic similitude theory in structural vibration and shock problems in different fields, including marine structures, civil engineering structures, and large power equipment. This study also reviews the dynamic similitude design methods for thin-walled and composite material plates and shells, including the most recent work published by the authors. Structure sensitivity analysis is used to evaluate the scaling factors to attain accurate distorted scaling laws. Finally, this study discusses the existing problems and the potential of the dynamic similitude theory for the analysis of vibration and shock problems of structures.
Keywords
review ; dynamic ; similitude ; vibration ; model test
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