Chebyshev polynomial-based Ritz method for thermal buckling and free vibration behaviors of metal foam beams

作     者：N.D.NGUYEN T.N.NGUYEN N.D.NGUYEN;T.N.NGUYEN

作者机构：Faculty of Civil EngineeringHo Chi Minh City University of Technology and EducationHo Chi Minh City 71309Viet Nam Faculty of Engineering and TechnologyKien Giang UniversityChau Thanh 92000Viet Nam 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2024年第45卷第5期

页      面：891-910页

核心收录：

学科分类：08[工学] 080502[工学-材料学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0701[理学-数学] 080101[工学-一般力学与力学基础] 0801[工学-力学（可授工学、理学学位）] 

主　　题：Ritz method Chebyshev function buckling vibration metal foam beam higher-order beam theory(HOBT) 

摘      要：This study presents the Chebyshev polynomials-based Ritz method to examine the thermal buckling and free vibration characteristics of metal foam *** analyses include three models for porosity distribution and two scenarios for thermal *** material properties are assessed under two conditions,i.e.,temperature dependence and temperature *** theoretical framework for the beams is based on the higher-order shear deformation theory,which incorporates shear deformations with higher-order *** governing equations are established from the Lagrange equations,and the beam displacement fields are approximated by the Chebyshev *** simulations are performed to evaluate the effects of thermal load,slenderness,boundary condition(BC),and porosity distribution on the buckling and vibration behaviors of metal foam *** findings highlight the significant influence of temperature-dependent(TD)material properties on metal foam beams buckling and vibration responses.