A weighted dual criterion for stochastic equivalent linearization method

Free Vibration Analysis of Quintic Nonlinear Beams using Equivalent Linearization Method with a Weighted Averaging

In this paper, the equivalent linearization method with a weighted averaging proposed by Anh (2015) is applied to analyze the transverse vibration of quintic nonlinear Euler-Bernoulli beams subjected to axial loads. The proposed method does not require small parameter in the equation which is difficult to be found for nonlinear problems. The approximate solutions are harmonic oscillations, whic...

Direct Stochastic Equivalent Linearization of Sdof Smart Mechanical System

The first and second moments of response variables for SDOF system with pseudoelastic material are obtained by a direct linearization procedure. This procedure is an adaptation of well-known statistical linearization methods, and provides concise, model-independent linearization coefficients. The method can be applied to systems that incorporate any SMA hysteresis model having a differential co...

Equivalent Linearization and Monte Carlo Simulation in Stochastic Dynamics

Equivalent Linearization and Monte Carlo Simulation are the most important techniques in analyzing large non-linear structural systems under random excitation. This paper reviews the development and the state-of-the-art of Equivalent Linearization and Monte Carlo Simulation in stochastic structural dynamics. General Remarks An extensive benchmark study [114] has revealed that most of the comput...

A Method for Defuzzication by Weighted Distance

A Method for Establishing a Support Criterion or Poverty Line

In this paper, a method for establishing a support criterion or poverty line is developed based on Engel’s Law and domestic nutritional values. The support criterion is differentiated across rural and urban areas. An important result is that for 1989, people who spend less than 108,000 Rials annually lie inside the poverty line in urban areas. A further important result is that food should be g...