Work

Statistical dynamics of shape memory alloy thin plates immersed in liquid under stochastic excitation

Year: 2026

Type: article

Abstract: This paper investigates the statistical dynamics of an axially moving shape memory alloy (SMA) thin plate immersed in liquid and subjected to bounded noise excitation. A nonlinear stochastic fluid–structure interaction model is established using Hamilton principle by integrating the Falk polynomial constitutive model of SMA, classical thin plate theory, and the ideal fluid assumption. The derived partial differential equation is then reduced to a single-mode nonlinear ordinary differential equation through the Galerkin method. To represent random environmental disturbances with a dominant frequency and finite bandwidth, bounded noise is introduced as the external excitation. A stochastic response analysis framework combining the stochastic averaging method and the Radial Basis Function Neural Network (RBFNN) method is utilized to solve the stationary Fokker–Planck–Kolmogorov (FPK) equation and obtain the stationary and transient probabilistic responses of the system. Based on the stochastic displacement response, engineering quantities including the von Mises equivalent stress and liquid pressure difference are further evaluated. The numerical results reveal a stochastic jumping behavior characterized by bimodal probability density and steady-state switching between low- and high-amplitude vibrations. Sensitivity analysis shows that the mean absolute displacement, mean von Mises equivalent stress, expected maximum pressure-difference magnitude, and the corresponding RMS stress and pressure responses exhibit pronounced parameter-dependent variations. These response quantities are significantly affected by noise intensity, excitation center frequency, and ambient temperature. The results provide model-based qualitative insight into the nonlinear stochastic vibration mechanism and the parameter-dependent stress and pressure variations of immersed SMA thin plates within the assumptions of the adopted reduced-order theoretical model.

Source: Thin-Walled Structures

DOI: 10.1016/j.tws.2026.115704

Authors: Enguang Zhang, Wei Li, Dongmei Huang, Drazan Kozak

Institutions: Xidian University, University of Slavonski Brod

Language: English

Topic: Vibration and Dynamic Analysis

Subfield: Mechanical Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,440

Funders: National Natural Science Foundation of China, Fundamental Research Funds for the Central Universities