Numerical modal analysis of structures based on a revised substructure synthesis approach

• Published in: Journal of sound and vibration Vol. 180; no. 2; pp. 185 - 203
• Main Authors: Jen, C.W., Johnson, D.A., Dubois, F.
• Format: Journal Article
• Language: English
• Published: London Elsevier Ltd 16.02.1995; Elsevier
• Subjects: Exact sciences and technology; Fundamental areas of phenomenology (including applications); Physics; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Vibrations and mechanical waves; Rayleigh Ritz method; Modal analysis; Free vibration; Rectangular plate; Simple support; Vibration control; Numerical method; Substructure; Numerical convergence; Plates; Beam(mechanics); Structural analysis
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1006/jsvi.1995.0074

The classical substructuring approach to the problem of modal analysis of structures suffers from a number of drawbacks which can sometimes lead the analyst to prefer other, often more cumbersome, techniques. A modified Rayleigh-Ritz based approach is presented which circumvents most of the drawbacks and improves the precision of the method while also enhancing its applicability to complex structures. The scheme is also particularly well suited to symbolic implementation, in view of its systematic, problem-independent formulation. The theoretical results are validated by case studies chosen to highlight various features of the approach, viz., a beam structure, a hinged simple square plate, a hinged plate structure of fairly complicated shape, and a rectangular plate with two cutouts.