STABILITY AND NONLINEAR DYNAMIC ANALYSES OF BEAM WITH PIEZOELECTRIC ACTUATOR AND SENSOR BASED ON HIGHER-ORDER MULTIPLE SCALES METHODS

DOI10.1142/S0219455413500429zbMath1359.74238MaRDI QIDQ2972253

M. S. Rechdaoui, Lahcen Azrar

Publication date: 7 April 2017

Published in: International Journal of Structural Stability and Dynamics (Search for Journal in Brave)

zbMATH Keywords

vibrationsactive controlnonlinear dynamicsHopf bifurcationmultiple scales methodpiezoelectric

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control, switches and devices (``smart materials) in solid mechanics (74M05) Electromagnetic effects in solid mechanics (74F15) Multiple scale methods for ordinary differential equations (34E13) Systems with slow and fast motions for nonlinear problems in mechanics (70K70)

Related Items (3)

ACTIVE CONTROL OF AN FGM BEAM UNDER FOLLOWER FORCE WITH PIEZOELECTRIC SENSORS/ACTUATORS ⋮ Transient response of an active nonlinear sandwich piezolaminated plate ⋮ Semi-analytical modeling and vibration control of a geometrically nonlinear plate

Cites Work

• Single-mode control and chaos of cantilever beam under primary and principal parametric excitations
• Active control of secondary resonances piezoelectric sandwich beams
• Prediction of homoclinic bifurcation: the elliptic averaging method
• Active control of geometrically nonlinear transient vibration of composite plates with piezoelectric actuators
• PERIODIC SOLUTIONS OF STRONGLY NON-LINEAR OSCILLATORS BY THE MULTIPLE SCALES METHOD

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