Equilibrium equations

A corotational finite element for large-displacement elastic analysis of semi-rigid planar steel frames is proposed in this paper. Two zero-length rotational springs are attached to the ends of the Euler-Bernoulli element formulated in corotational context to simulate the flexibility of the beam-to-column connections and then the equilibrium equations of the hybrid element, including the stiffness matrix which contains the stiffness terms of the rotational springs, are established based on the static condensation procedure.

9p vifilm 24-09-2024 3 1   Download

In this study, the Ritz variational method is used to analyze and solve the bending problem of rectangular functionally graded material plate with general boundary conditions and subject to some types of load distribution over the entire plate domain. Based on the Kirchoff plate theory, the equilibrium equations are obtained by minimizing the total potential energy.

12p viyoko 24-09-2024 2 1   Download

In this study, the adsorption kinetics and equilibrium of methylene blue from aqueous solution onto activated carbon derived from coffee husk using one step ZnCl2 activation were investigated. The influence of initial methylene blue concentration and temperature were evaluated employing the batch experiment. To the experimental data, different kinetics and isotherm models were applied, finding that the best fitted is the pseudo-second-order equation and the Redlich-Peterson model, respectively.

14p koxih_kothogmih5 04-09-2020 20 2   Download

In this paper, a simplified method is proposed for deriving equilibrium equations in continuous systems. The new method is indeed the direct applying of Newton’s laws on free body diagram of point.

10p tohitohi 19-05-2020 13 0   Download

Hydrogels composed of polyvinyl pyrrolidone (PVP), polyethylenglycol (PEG) and kappacarrageenan (KC) were prepared by radiation crosslinking method. The equilibrium water absorption of hydrogel PVP/KC (A) and PVP/PEG/KC (B) were 45 and 85 g(H2O)/g dried gel, respectively. The n values of the equation Mt /M = ktn were determined to be of 0.6396 for hiđrogel A and 0.9984 for hydrogel B. The water transport mechanism follows the fickian diffusion for hydrogel A, while relaxation diffusion is dominated for hydrogel B. The water vaporization of hiđrogels was also investigated.

4p uocvong04 24-09-2015 43 3   Download

In this paper, we show that if the operator $A(\cdot)$ is strongly continuous on Hilbert space $\mathbb H,$ $A(t)=A^*(t),$ $\sup\limits_{\|h\|\le 1}\int\limits_{T}^{+\infty}\|A(t)h\|dt\le q

7p tuanlocmuido 19-12-2012 31 3   Download

Within the framework of the Walecka model (QHD-I)[1] the renormalized effective Dirac equation and the kinetic equation for fermion are presented. In fact, the fermion propagator in the medium is dramatically different from that in the vacuum. The main feature is the treating of the fermion distribution in non equilibrium, which depends on the interaction rate involving temperature.

10p tuanlocmuido 19-12-2012 43 2   Download

GLOBAL ATTRACTOR OF COUPLED DIFFERENCE EQUATIONS AND APPLICATIONS TO LOTKA-VOLTERRA SYSTEMS C. V. PAO Received 22 April 2004 This paper is concerned with a coupled system of nonlinear difference equations which is a discrete approximation of a class of nonlinear differential systems with time delays. The aim of the paper is to show the existence and uniqueness of a positive solution and to investigate the asymptotic behavior of the positive solution. Sufficient conditions are given to ensure that a unique positive equilibrium solution exists and is a global attractor of the difference system.

23p sting12 10-03-2012 49 6   Download

RATE OF CONVERGENCE OF SOLUTIONS OF RATIONAL DIFFERENCE EQUATION OF SECOND ORDER ˇ ´ ´ S. KALABUSIC AND M. R. S. KULENOVIC Received 13 August 2003 and in revised form 7 October 2003 We investigate the rate of convergence of solutions of some special cases of the equation xn+1 = (α + βxn + γxn−1 )/(A + Bxn + Cxn−1 ), n = 0,1,..., with positive parameters and nonnegative initial conditions. We give precise results about the rate of convergence of the solutions that converge to the equilibrium or period-two solution by using Poincar´ ’s e theorem and an improvement of Perron’s...

19p sting12 10-03-2012 55 4   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Stability of Equilibrium Points of Fractional Difference Equations with Stochastic Perturbations

21p sting10 29-02-2012 67 5   Download

Consider a system with a single degree of freedom and assume that the equation expressing its dynamic equilibrium is a second order ordinary differential equation (ODE) in the generalized coordinate x.

164p hiruscar 19-10-2010 87 8   Download