THE EFFECT OF MATERIAL PROPERTY ON THE CRITICAL VELOCITY OF RAN-DOMLY EXCITED NONLINEAR AXIALLY TRAVELLING FUNCTIONALLY GRADED PLATES

Authors

  • MAJID ABEDI SHIRAZ UNIVERSITY, SHIRAZ, IRAN
  • ALIREZA ASNAFI ASSISTANT PROFESSOR, SHIRAZ UNIVERSITY, SHIRAZ IRAN
  • HOSSEIN BEHESHTAEIN SHIRAZ UNIVERSITY, SHIRAZ, IRAN

Keywords:

FUNCTIONALLY GRADED PLATES, PROBABILITY DENSITY FUNCTION, AXIALLY MOVING PLATE, STOCHASTIC VIBRATION, DYNAMIC INSTABILITY, FPK METHOD

Abstract

IN PLATE MANUFACTURING PROCESS, THE AXIAL VELOCITY OF PLATES DURING PRODUCTION LINE PLAYS THE IMPORTANT ROLE. EXTRA ORDINARY SPEED MAY AMPLIFY THE TRANSVERSE VIBRATION AND THE DYNAMIC INSTABILITY. IN THIS PAPER, THE CRITICAL AXIAL SPEEDS OF THREE TYPES OF SIGMOID, POWER AND EXPONENTIAL LAW FUNCTIONALLY GRADED PLATES FOR BOTH ISOTROPIC AND ORTHOTROPIC CASES ARE OBTAINED VIA AN ANALYTIC METH-OD. THE PLATES ARE SUBJECTED TO LATERAL RANDOM EXCITATION AND SHOW EVIDENCE OF LARGE DEFORMATIONS. DUE TO RANDOMNESS, THE DETERMINISTIC METHODS FAIL AND A STATISTICAL APPROACH MUST BE SELECTED. HERE, THE PROBABILITY DENSITY FUNCTION IS EVALUATED FOR PLATES AND USED TO INVESTIGATE THE CRITICAL AXIAL VELOCITY. SPECIFICALLY THE EFFECT OF IN-PLANE FORCES, MEAN VALUE OF LATERAL LOAD AND THE MATERIAL PROPERTY ON THE CRITICAL AXIAL SPEED ARE STUDIED AND DISCUSSED.

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Published

2015-11-09

Issue

Vol 13, No 1 (2016)

Section

Articles

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