Vibration of Generalized Double Well Oscillators
نویسندگان
چکیده
Grzegorz Litak1,2∗, Marek Borowiec1,∗∗, and Arkadiusz Syta3,∗∗∗ 1 Department of Applied Mechanics, Technical University of Lublin, Nadbystrzycka 36, PL-20-618 Lublin, Poland 2 Institut für Mechanik und Mechatronik, Technische Universität Wien, Wiedner Hauptstraβe 8 10 A-1040 Wien, Austria 2 Department of Applied Mathematics, Technical University of Lublin, Nadbystrzycka 36, PL-20-618 Lublin, Poland
منابع مشابه
Power Series -Aftertreatment Technique for Nonlinear Cubic Duffing and Double-Well Duffing Oscillators
Modeling of large amplitude of structures such as slender, flexible cantilever beam and fluid-structure resting on nonlinear elastic foundations or subjected to stretching effects often lead to strongly nonlinear models of Duffing equations which are not amendable to exact analytical methods. In this work, explicit analytical solutions to the large amplitude nonlinear oscillation systems of cub...
متن کاملVibration analysis of a double layer microshell utilizing a modified couple stress theory
In this paper, dynamic modeling of a double layer cylindrical functionally graded (FG) microshell is considered. Modeling is based on the first-order shear deformation theory (FSDT), and the equations of motion are derived using the Hamilton's principle. It assumes that functionally graded length scale parameter changes along the thickness. Generalized differential quadrature method (GDQM) is u...
متن کاملModified homotopy perturbation method for solving non-linear oscillator's equations
In this paper a new form of the homptopy perturbation method is used for solving oscillator differential equation, which yields the Maclaurin series of the exact solution. Nonlinear vibration problems and differential equation oscillations have crucial importance in all areas of science and engineering. These equations equip a significant mathematical model for dynamical systems. The accuracy o...
متن کاملBuckling and Thermomechanical Vibration Analysis of a Cylindrical Sandwich Panel with an Elastic Core Using Generalized Differential Quadrature Method
In this paper, the vibrational and buckling analysis of a cylindrical sandwich panel with an elastic core under thermo-mechanical loadings is investigated. The modeled cylindrical sandwich panel as well as its equations of motions and boundary conditions is derived by Hamilton’s principle and the first-order shear deformation theory (FSDT). For the first time in the present study, various bound...
متن کاملFree Vibration of a Generalized Plane Frame
This article deals with the free in-plane vibration analysis of a frame with four arbitrary inclined members by differential transform method. Based on four differential equations and sixteen boundary and compatibility conditions, the related structural eigenvalue problem will be analytically formulated. The frequency parameters and mode shapes of the frame will be calculated for various values...
متن کامل