Abstract The influence of weights is usually ignored in the study nonlinear vibrations plates. In this paper, effect structure on vibration a composite circular plate with rigid body presented. governing equations are derived from generalized Hamilton’s principle and von Kármán theory. equilibrium configurations due to determined validated by finite element method (FEM). A model for around conf...

In this article, an exact levy solution is presented for bending analysis of a functionally graded (FG) annular sector plate. The governing equilibrium equations are obtained based on the classical plate theory. Introducing an analytical method for the first time, the three coupled governing equilibrium equations are replaced by an independent equation in term of transverse deflection. This equ...

A stochastic model for behavioral changes by imitative pair interactions of individuals is developed. ‘Microscopic’ assumptions on the specific form of the imitative processes lead to a stochastic version of the game dynamical equations. That means, the approximate mean value equations of these equations are the game dynamical equations of evolutionary game theory. The stochastic version of the...

A new approach to the question of the existence of small-amplitude, uniformly translating, two-dimensional capillary-gravity water waves was proposed by Kirchgässner (1988), who suggested writing the governing equations as an infinite-dimensional, quasilinear dynamical system in which the horizontal coordinate is the time-like variable. The centre-manifold reduction theorem of Mielke (1988) may...

We propose a theoretical approach to derive amplitude equations governing the weakly nonlinear evolution of nonnormal dynamical systems when they experience transient growth or respond harmonic forcing. This reconciles nonmodal nature these mechanisms and need for center manifold project leading-order dynamics. Under hypothesis strong nonnormality, we take advantage fact that small operator per...

As it is known various dynamical processes can be modeled through systems of time-fractional order pseudo-differential equations. In the modeling process one frequently faces with problem determination adequate orders derivatives in sense Riemann–Liouville or Caputo. This qualified as an inverse problem. The correct (vector) found utilizing available data. this paper we offer new method solutio...

the effect of a transverse magnetic field on the boundary layer flow and heat transfer of anisothermal stretching cylinder is analyzed. the governing partial differential equations for themagnetohydrodynamic, temperature, and concentration boundary layers are transformed into a setof ordinary differential equations using similarity transformations. the obtained ordinarydifferential equations ar...

Abstract. One derives the governing equations and the Rankine Hugoniot conditions for a mixture of two miscible fluids using an extended form of Hamilton’s principle of least action. The Lagrangian is constructed as the difference between the kinetic energy and a potential depending on the relative velocity of components. To obtain the governing equations and the jump conditions one uses two re...

Abstract The main goal of this study is to look at the motion a damped two degrees-of-freedom (DOF) auto-parametric dynamical system. Lagrange’s equations are used derive governing (EOM). Up good desired order, approximate solutions achieved utilizing method multiple scales (MMS). Two cases resonance, namely; internal and primary external one examined simultaneously explore solvability conditio...

In this paper, longshore sediment transport in littoral zones is investigated. For investigation of sediment transport in the nearshore zone, the effects of waves, currents and topographical conditions of coast are considered. Linear wave theory was used for the investigation of the wave behaviour. Governing equations of littoral current are continuity and momentum ones. For calculating concent...