Free vibration and transient response of double curved beams connected by intermediate straight beams  

作　　者：R.A.JAFARI-TALOOKOLAEI H.GHANDVAR E.JUMAEV S.KHATIR T.CUONG-LE 

机构地区：[1]School of Mechanical Engineering,Babol Noshirvani University of Technology,Babol 47148-71167,Iran [2]Department of Mechanical Engineering,Faculty of Engineering,New Uzbekistan University,Tashkent 100000,Republic of Uzbekistan [3]University of Business and Science,Tashkent 100000,Republic of Uzbekistan [4]Center for Engineering Application and Technology Solutions,Ho Chi Minh City Open University,Ho Chi Minh 700000,Vietnam

出　　处：《Applied Mathematics and Mechanics(English Edition)》2025年第1期37-62,共26页应用数学和力学(英文版)

摘　　要：This paper investigates the free vibration and transient response of interconnected structures including double curved beams and intermediate straight beams,which are all constructed from functionally graded porous(FGP)materials.The strain potential and kinetic energies of each beam along with the work done by the external force are calculated.Additionally,a higher-order beam element is introduced to derive stiffness and mass matrices,along with the force vector.The curved and straight beams are discretized,and their assembled stiffness,mass matrices,and force vectors,are obtained.Continuity conditions at the joints are used to derive the total matrices of the entire structure.Subsequently,the natural frequencies and transient response of the system are determined.The accuracy of the mathematical model and the self-developed computer program is validated through the comparison of the obtained results with those of the existing literature and commercial software ANSYS,demonstrating excellent agreement.Furthermore,a comprehensive study is conducted to investigate the effects of various parameters on the free vibration and transient response of the considered structure.

关 键 词：double curved beam vibration analysis intermediate straight beam functionally graded porous(FGP)material finite element method 

分 类 号：O313[理学—一般力学与力学基础]