ANALYSES OF SANDWICH BEAMS AND PLATES WITH VISCOELASTIC CORES

By S. LIORI

INTRODUCTION MOTIVATION AND OBJECTIVES STATE-OF-THE-ART VISCOELASTIC MATERIALS SANDWICH BEAMS SANDWICH PLATES SCOPE OF THE PRESENT RESEARCH SANDWICH BEAM SANDWICH PLATE ORGANIZATION CHARACTERISTICS OF VISCOELASTIC MATERIALS CLASSICAL DAMPING MODELS MODERN DAMPING MODELS FRACTIONAL DERIVATIVES MODEL AFT AND ADF MODELS GOLLA-HUGHES-MCTAVISH MODEL SUMMARY COMPARISON OF ANALYSES OF SANDWICH BEAMS ASSUMPTIONS AND GOVERNING EQUATIONS ASSUMPTIONS GOVERNING EQUATIONS SPECTRAL FINITE ELEMENT METHOD ISOTROPIC ROD AND BEAM CONVENTIONAL FINITE ELEMENT METHOD ASSUMED MODES METHOD SOLUTION TYPE/METHODS EXPERIMENTAL SETUP RESULTS MODAL FREQUENCY PREDICTIONS NUMBER OF ELEMENTS FREQUENCY RESPONSE FUNCTIONS ANALYSES OF SANDWICH PLATES: PART I ASSSUMPTIONS SANDWICH PLATE ENERGIES AND GOVERNING EQUATIONS ASSUMED MODES METHOD USING BEAM AND ROD MODES ANALYTICAL VALIDATION: SIMPLY SUPPORTED EXPERIMENTAL VALIDATION: ALL FOUR SIDES CLAMPED PLATE MODE SHAPES PLATE IN-PLANE MODE SHAPE SOLUTION VALIDATION AND RESULTS PLATE BENDING VIBRATION RESULTS FOR PLATE BENDING AND IN-PLANE MODE SHAPE FUNCTIONS ANALYSES OF SANDWICH PLATE: PART II EXPERIMENTAL SET-UP ALUMINUM PLATE PLATE WITH PCLD TREATMENT SUMMARY AND CONCLUSIONS RECOMMENDATIONS FOR FUTURE RESEARCH