STOCHASTIC THERMAL INSTABILITY ANALYSIS OF ELASTICALLY SUPPORTED LAMINATED COMPOSITE PLATE EMBEDDED WITH SMA FIBERS
DOI:
https://doi.org/10.55766/sujst10606Keywords:
Excitation frequency, Thermal instability, SMA fibres, Stochastic FEM, HSDT, SOPTAbstract
This study investigates the second-order statistics of shape memory alloy fibres embedded in elastically supported laminated composite plates subjected to thermal loading. The two-parameter Pasternak foundation model is assumed for the elastically supported model. The parametric thermal instability equation is derived from the Mathieu-Hill equation, employing Bolotin’s approach in conjunction with the C0 finite element method. The stochastic finite element method (SFEM)-based second-order perturbation technique (SOPT) is used to calculate the expected mean and standard deviation (SD) of the input random system parameters. This research employs a mathematical model based on higher-order shear deformation theory (HSDT) to determine the excitation frequency and instability regions. The role of stochastic system parameters is analysed in the excitation frequency and instability regions, as they relate to the volume fraction of SMA fibres, plate length-to-thickness ratio, quantity and placement of SMA fibres, frequency mode, temperature increments, percentage recovery strain, and foundation parameters concerning expected mean and standard deviation.
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