Stability Study of a Tapered Rotating Sandwich Beam with Asymmetric Configuration and Variable Temperature Gradient Under Dynamic Condition

摘要

The stability study of a tapered rotating sandwich beam with a variable temperature gradient under dynamic condition is investigated. The sequential steps used to reach the goal are (i) applying the extended Hamilton's principle, (ii) non-dimensionalizing the equations of motion, (iii) selecting shape functions from previous work to model the system mathematically depending on the boundary conditions, and (iv) using the Galerkin methodology. The influences of different system parameters on the regions of instability are considered and presented graphically. The results obtained with uniform and variable thermal gradients are compared.