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نمایش تعداد 1-10 از 10
Efficient multi-step differential transform method Theory and its application to nonlinear oscillators
In this paper, we suggest an efficient method, based on the well-known multi-step differential transform method to considerably reduce the number of arithmetic operations of differential transform method. The proposed method is heavily depended...
Differential transform method for conformable fractional partial differential equations
We expand a new generalization of the two-dimensional differential trans form method. The new generalization is based on the two-dimensional differential transform method, fractional power series expansions, and conformable fractional derivative. We...
Free Vibration of a Generalized Plane Frame
This article deals with the free in-plane vibration analysis of a frame with four arbitrary inclined
members by differential transform method. Based on four differential equations and sixteen boundary
and compatibility conditions...
Free Vibration Analysis of Rotating Euler–Bernoulli Beam with Exponentially Varying Cross-Section by Differential Transform Method
transform method (DTM) is utilized. Based on our
knowledge, we claim that the recurrence relation presented herein is an elaborate recurrence
relation which has been obtained for ordinary differential equations. Non-dimensional natural...
Free Vibration of MDOF Systems with Nonperiodically Time-Varying Mass
This paper deals with the free vibration response of MDOF mass-spring systems with time variable
mass and constant stiffness. To show the necessity of this study, a review on the related
published articles ...
Solving coupled beam-fluid interaction by DTM
This paper aims to employ the differential transformation method for solving a fluid-structure interaction problem. The free vibration of an Euler-Bernoulli beam next to an incompressible, irrotational and inviscid fluid is administrated by a...
Application of Differential Transform Method to Free Vibration of Gabled Frames with Rotational Springs
This paper is concerned with the free vibration of a gabled frame with rotational springs at
intersecting joints. Each member of the frame may have di®erent mechanical or geometrical
properties. The problem ...
An analytical and approximate solution for linear volterra partial integro-differential equation with a weakly singular kernel using the fractional differential transform method
In this paper, an analytical approximate method is proposed for solving linear Volterra partial integro-differential equations with a weakly singular kernel. This method is based on the fractional differential transform method -FDTM...
An approximate method for solving a class of nonlinear optimal control problems
one-dimensional differential transform method (DTM) and new polynomials that are called DT’s polynomials.
This method simplifies the difficulties and massive computational work for calculating the differential
transform of nonlinear function. The convergence...
A novel time integration formulation for nonlinear dynamic analysis
To solve the linear and nonlinear dynamic equation of motion, a family of explicit higher-order time integration algorithms is presented. The differential transformation method in conjunction with the state–space concept is used. In this study, four...