NON-LINEAR FLEXURAL VIBRATION OF ORTHOTROPIC SKEW PLATES

THIS REPORT DEALS WITH THE LARGE AMPLITUDE (NON- LINEAR) FREE FLEXURAL VIBRATION OF THIN, ELASTIC, ORTHOTROPIC SKEW PLATES CLAMPED ALONG ALL FOUR EDGES. THE ANALYSIS IS BASED ON THE NON-LINEAR DYNAMIC EQUATIONS APPLICABLE FOR RECTILINEARLY ORTHOTROPIC SKEW PLATES, DERIVED IN TERMS OF THE STRESS FUNCTIONS, F, AND THE LATERAL DISPLACEMENT, W. SOLUTIONS OBTAINED ON THE BASIS OF ASSUMED VIBRATION MODES MAKE USE OF GALERKIN'S METHOD. CURVES OF AMPLITUDE VERSUS PERIOD FOR CLAMPED SKEW PLATES HAVE BEEN OBTAINED FOR TWO TYPES OF ORTHOTROPY AND, IN EACH CASE, FOR DIFFERENT ASPECT RATIOS AND SWEEP ANGLES OF THE PLATE. THE CORRESPONDING RELATIONSHIP FOR THE ISOTROPIC CASE HAS ALSO BEEN OBTAINED. THE RESULTS WHEN SPECIALIZED FOR THE CASES OF ISOTROPIC SKEW PLATES AND ORTHOTROPIC RECTANGULAR PLATES AGREE WELL WITH THOSE IN THE LITERATURE. THE RESULTS SHOW THAT THE NON-LINEARITY IS OF THE "HARDENING" TYPE, THAT IS, THE PERIOD OF NON- LINEAR VIBRATION DECREASES WITH INCREASING AMPLITUDE. /AUTHOR/

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/0022460X
• Authors:
  • Sathyamoorthy, M
  • Pandalai, K A
• Publication Date: 1972-9-8

Language

• English

Media Info

• Features: Figures; References;
• Pagination: p. 115-20
• Serial:
  • Journal of Sound and Vibration
  • Volume: 24
  • Issue Number: 1
  • Publisher: Elsevier
  • ISSN: 0022-460X
  • EISSN: 1095-8568
  • Serial URL: http://www.sciencedirect.com/science/journal/0022460X

Subject/Index Terms

• TRT Terms: Equations; Isotropy; Nonlinear systems; Orthotropic; Skew bridges; Skewed structures; Structural plates; Vibration
• Uncontrolled Terms: Nonlinearity; Plates
• Subject Areas: Bridges and other structures; Highways;

Filing Info

• Accession Number: 00210209
• Record Type: Publication
• Source Agency: Transport and Road Research Laboratory (TRRL)
• Files: TRIS
• Created Date: Nov 14 1973 12:00AM