an energy based damage index based on a new nonlinear finite element (fe) approach applicable to rc structures subjected to cyclic, earthquake or monotonic loading is proposed. the proposed method is based on the evaluation of nonlinear local degradation of materials and taking into account of the pseudo-plastic hinge produced in the critical sections of the structure. a computer program is dev...

This paper presents the effect of preload on nonlinear dynamic behavior of a rigid rotor supported by two-lobe aerodynamic noncircular journal bearing. A finite element method is employed to solve the Reynolds equation in static and dynamical states and the dynamical equations are solved using Runge-Kutta method. To analyze the behavior of the rotor center in the horizontal and vertical directi...

Using finite element nonlinear analysis, the dynamic soil pressure on perimeter retainingwalls of structures is investigated. Nonlinear Drucker Prager failure criterion is used to model the soilbehavior in the near field. The far field soil and the middle structure are assumed to behave as linearelastic materials. The soil-wall interface behavior is modeled incorporating nonlinear interfaceelem...

A semi-analytical method is used to illustrate the behavior of a multimodal nonlinear electromechanical system which is under base-excitation. System is considered as piezo-ceramic patches attached to a cantilever beam coupled to a resistive load. The cantilever beam is modeled as a nonlinear Timoshenko beam using Assumed Mode method and equations of motion are derived through Lagrange's equati...

Due to their dual behavior under tension and compression, structures with tension-only members show non-linear behavior. To analize such structures, it is necessary to use a nonlinear analysis scheme. Nonlinear analysis methods generally use gradual loading techniques with/without modification of stiffness matrix of the structure. These methods, in addition to being time consuming algorithms, a...

for a given initial data u(x, 0) = u0(x) ≥ 0, where p > 1 and N ≥ 2. Such a solution exists and it is unique in the natural weak sense under rather mild conditions on u0. In particular, this is the case for u0 ∈ L , condition which we will assume in what follows. We refer the reader to [11,10] for general results on the issues of existence, uniqueness and regularity of non-negative solutions. I...

This paper is focused on the following nonlinear impulsive neutral differential equation k 0 t t , t t 0, (t))) f(x(γ t q(t) (t))) f(x(β t p(t) ] t))) c(t)g(x(α([x(t) ≠ ≥ = − + ′ + 1,2,3,... k , f(x(s))ds s (s)) q(γ f(x(s))ds s (s)) p(β) a (1) x(t a) x(t k k k k t) γ(t 1 t) β(t 1 k k k k Sufficient conditions are obtained for every solution of (*) to tends to a constant as t → ∞.

in this paper, we study the existence, asymptotic behavior of the positive solutions of a fuzzy nonlinear difference equation$$ x_{n+1}=frac{ax_n+x_{n-1}}{b+x_{n-1}}, n=0,1,cdots,$$ where $(x_n)$ is a sequence of positive fuzzy number, $a, b$ are positive fuzzy numbers and the initial conditions $x_{-1}, x_0$ are positive fuzzy numbers.