- Tytuł:
- Nonlinear vibration of a beam resting on a nonlinear viscoelastic foundation traversed by a moving mass: a homotopy analysis
- Autorzy:
-
Pourseifi, Mehdi
Monfared, Mojtaba Mahmoudi - Powiązania:
- https://bibliotekanauki.pl/articles/38890049.pdf
- Data publikacji:
- 2022
- Wydawca:
- Instytut Podstawowych Problemów Techniki PAN
- Tematy:
-
Euler-Bernoulli beam
nonlinear viscoelastic foundation
moving mass
homotopy analysis method - Opis:
- In this study, the dynamic response of an Euler-Bernoulli beam resting on the nonlinear viscoelastic foundation under the action of a moving mass by considering the stretching effect of the beam’s neutral axis is investigated. A Dirac-delta function is applied to model the location of the moving mass along the beam as well as its inertial effects. The Galerkin decomposition method is used to transform a partial dimensionless nonlinear differential equation of dynamic motion into an ordinary nonlinear differential equation. Subsequently, the well-known homotopy analysis method (HAM) is employed to obtain an approximate analytical solution of this equation. The validity and accuracy of the solution are examined numerically using the fourth-order Runge-Kutta method. Finally, several examples are provided to show the effects of parameters such as linear and nonlinear stiffness coefficients of a viscoelastic foundation, velocity of the moving mass as well as Coriolis force, centrifugal force and inertia force of the moving mass on the dynamic deflection of the beam.
- Źródło:
-
Engineering Transactions; 2022, 70, 4; 355-371
0867-888X - Pojawia się w:
- Engineering Transactions
- Dostawca treści:
- Biblioteka Nauki
Artykuł