Snake locomotory dynamics is an interesting field of study to biologists, physicists, and undergraduate applied mathematicians. In this project, we study a simple model problem of an elastic beam moving on a frictional surface. The beam could model an elastic tail of a snake or a sand-swimming lizard. Previous studies have laid out a great deal of groundwork on the motions of bodies with prescr...

The nonlinear electrostatic pull-in behaviour of MEMS Switches in micro-electromechanical systems (MEMS) is investigated in this article. We used the distributed model when the electrostatic pressure didn’t apply at the whole of the beam and applied only in the mid-part of the beam. In this part the electrostatic area is different from two other parts. The model uses Euler-Bernoulli beam theory...

This paper presents a numerical parametric study on design parameters of multispan viscoelastic shear deformable beams subjected to a moving mass via generalized moving least squares method (GMLSM). For utilizing Lagrange’s equations, the unknown parameters of the problem are stated in terms of GMLSM shape functions and the generalized Newmarkscheme is applied for solving the discrete equations...

an aircraft wing needs to display different mechanical behavior in different directions. 1- stiffness in the spanwise (transverse to the corrugation) direction which enables the aerodynamic and inertial loads to be carried. 2- compliance in the chordwise (corrugation) direction which would allow shape changes and increases in surface area; whereas a corrugated sheet due to their special geometr...

In this paper, transverse vibration analysis of rotating micro-beam is investigated based on the modified couple stress theory. The simply-supported modeled utilizing Euler-Bernoulli and Timoshenko beam theories. system around a fixed axis perpendicular to axial direction beam. For first time, displacement filed introduced as coupled field translational field. other words, mentioned rotational ...

A new mathematical model of a porous functionally graded micro/nano-beam under the action Casimir force and Coulomb is constructed in this paper. The construction takes into account Euler-Bernoulli kinematic model. dimensional-dependent parameter taken by modified moment theory elasticity. variational, differential equations, boundary initial conditions are derived from Ostrogradsky-Hamiltonian...

Let X1, X2, X3, . . . be i.i.d. random variables (Here ”i.i.d.” means ”independent and identically distributed” ), s.t. Pr[Xi = 1] = p, Pr[Xi = 0] = 1 − p. Xi is also called Bernoulli random variable. Let Sn = X1 + · · · + Xn. We will be interested in the random variable Sn which is called Binomial random variable (Sn ∼ B(n, p)). If you toss a coin for n times, and Xi = 1 represents the event t...

The design of a magnetic slit used for momentum definition and beam separation for high energy particle beams is discussed. (To be submitted to Review of Scientific Instruments) * Work supported by U. S. Atomic Energy Commission

In the framework of wireless power transmission applications, the design of planar phased arrays providing maximum beam collection efficiency (i.e., maximizing the ratio between the power radiated over a target area and the total power transmitted by the array) through a subarrayed architecture is addressed. The degrees-of-freedom of the synthesis problem at hand (i.e., the membership of the ar...