in this paper coupled nonlinear equations of motion of a suspended cable with time dependent tension and velocity are derived by using hamilton’s principal. a modal analysis for a stationary sagged cable is initially carried out in order to identify the dynamic system. the natural solution is directed to compute the natural frequencies and mode shapes of the free vibration of a suspended cable....

the work  addressed in this paper is a comparative study between convergence of the  acceleration techniques, diagonal pad'{e} approximants and shanks transforms, on homotopy analysis method  and adomian decomposition method for solving  differential equations of integer and fractional orders.

in this paper, the convergence of zakharov-kuznetsov (zk) equation by homo- topy analysis method (ham) is investigated. a theorem is proved to guarantee the conver- gence of ham and to nd the series solution of this equation via a reliable algorithm.

although homotopy-based methods, namely homotopy analysis method andhomotopy perturbation method, have largely been used to solve functionalequations, there are still serious questions on the convergence issue of thesemethods. some authors have tried to prove convergence of these methods, butthe researchers in this article indicate that some of those discussions are faulty.here, after criticizi...

in this paper power system model is represented in a new domain that relates to multi-resolution analysis (mra) space. by developing mathematical model of elements in this space using galerkin method, a new alternative method for power system simulation in nonsinusoidal and periodic conditions is developed. the mathematical formulation and characteristics of new proposed space is expressed. als...

the stock selection problem is one of the major issues in the investment industry, which is mainlysolved by analyzing financial ratios. however, considering the complexity and imprecise patterns ofthe stock market, obvious and easy-to-understand investment rules, based on fundamental analysis,are difficult to obtain. fundamental and technical analyses are two common methods for predictingthe fu...

displacement coefficient method (dcm) stipulated in the asce 41-06 standard is becoming the preferred method for seismic rehabilitation of buildings in many high-seismic-hazard countries. applications of the method for non-building constructions such as bridges are beyond the scope of this standard. thus its application to this kind of structure should be approached with care. target displaceme...

Estimation of collapse performance is primarily conducted through Collapse Fragility Curves (CFC’s). The EDP-based approach is the main scheme for attaining such curves and employs IDA. Obtaining CFC’s from IDA results is tremendously time consuming and computationally demanding. Introduction of more efficient methods of seismic analysis, can potentially improve this issue. The Endurance Time (...

in this paper, three dimensional (3d) static and dynamic analysis of thick plates based on the meshless local petrov-galerkin (mlpg) is presented. using the kinematics of a three-dimensional continuum, the local weak form of the equilibrium equations is derived. a weak formulation for the set of governing equations is transformed into local integral equations on local sub-domains by using a uni...