Exact Solutions and Mode Transition for Out-of-Plane Vibrations of Non-uniform Beams with Variable Curvature
作者机构：Department of Mechanical EngineeringNational Cheng Kung UniversityTainanTaiwanRepublic of China Mechanical Engineering DepartmentKun Shan UniversityTainanTaiwan 710-03Republic of China
出 版 物：《Computers, Materials & Continua》 (计算机、材料和连续体（英文）)
年 卷 期：2016年第51卷第1期
页 面：1-19页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Out-of-plane vibration Variable curvature Non-uniform beam Exact solution Mode transition
摘 要：The two coupled governing differential equations for the out-of-plane vibrations of non-uniform beams with variable curvature are derived via the Hamilton’s *** equations are expressed in terms of flexural and torsional displacements *** this study,the analytical method is ***,two physical parameters are introduced to simplify the *** derives the explicit relations between the flexural and the torsional displacements which can also be used to reduce the difficulty in experimental *** on the relation,the two governing characteristic differential equations with variable coefficients can be uncoupled into a sixth-order ordinary differential equation in terms of the flexural displacement *** the material and geometric properties of the beam are in arbitrary polynomial forms,the exact solutions with regard to the outof-plane vibrations of non-uniform beams with variable curvature can be obtained by the recurrence *** addition,the mode transition mechanism is revealed and the influence of several parameters on the vibration of the non-uniform beam with variable curvature is explored.
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