In-plane vibration of FG micro/nano-mass sensor based on nonlocal theory under various thermal loading via differential transformation method

2017 ◽  
Vol 101 ◽  
pp. 23-39 ◽  
Author(s):  
O. Rahmani ◽  
A. Mohammadi Niaei ◽  
S.A.H. Hosseini ◽  
M. Shojaei
Keyword(s):  
Thermal Loading ◽  
Transformation Method ◽  
Nonlocal Theory ◽  
Differential Transformation Method ◽  
Mass Sensor ◽  
Plane Vibration ◽  
Differential Transformation

Differential transformation method for circular membrane vibrations

2020 ◽  
Vol 61(12) (2) ◽  
pp. 333-350
Author(s):  
Jaipong Kasemsuwan ◽  
◽  
Sorin Vasile Sabau ◽  
Uraiwan Somboon ◽  
◽  
...  
Keyword(s):  
Transformation Method ◽  
Differential Transformation Method ◽  
Circular Membrane ◽  
Differential Transformation ◽  
Membrane Vibrations

scholarly journals Differential Quadrature and Differential Transformation Methods in Buckling Analysis of Nanobeams

2019 ◽  
Vol 6 (1) ◽  
pp. 68-76 ◽  
Author(s):  
Subrat Kumar Jena ◽  
S. Chakraverty
Keyword(s):  
Boundary Conditions ◽  
Differential Quadrature Method ◽  
Nonlocal Parameter ◽  
Transformation Method ◽  
Nonlocal Theory ◽  
Buckling Analysis ◽  
Differential Quadrature ◽  
Load Parameter ◽  
Computationally Efficient ◽  
Differential Transformation

AbstractIn this paper, two computationally efficient techniques viz. Differential Quadrature Method (DQM) and Differential Transformation Method (DTM) have been used for buckling analysis of Euler-Bernoulli nanobeam incorporation with the nonlocal theory of Eringen. Complete procedures of both the methods along with their mathematical formulations are discussed, and MATLAB codes have been developed for both the methods to handle the boundary conditions. Various classical boundary conditions such as SS, CS, and CC have been considered for investigation. A comparative study for the convergence of DQM and DTM approaches are carried out, and the obtained results are also illustrated to demonstrate the effects of the nonlocal parameter, aspect ratio (L/h) and the boundary condition on the critical buckling load parameter.

scholarly journals Differential Transformation Method (DTM) for Solving SIS and SI Epidemic Models

2017 ◽  
Vol 46 (10) ◽  
pp. 2007-2017
Author(s):  
M.Z. Ahmad ◽  
D. Alsarayreh ◽  
A. Alsarayreh ◽  
I. Qaralleh
Keyword(s):  
Transformation Method ◽  
Epidemic Models ◽  
Differential Transformation Method ◽  
Differential Transformation

scholarly journals Nonlinear Vibration Analysis of an Electrostatically Actuated Microbeam using Differential Transformation Method

2020 ◽  
Vol 2 (2) ◽  
Author(s):  
Gbeminiyi Musibau Sobamowo ◽  
A A. Yinusa ◽  
O. A. Adesina ◽  
O. M. Oyekeye
Keyword(s):  
Nonlinear Vibration ◽  
Nonlinear Problems ◽  
Transformation Method ◽  
Differential Transformation Method ◽  
Velocity Variation ◽  
Differential Transformation ◽  
Electrostatically Actuated ◽  
Homotopy Analysis ◽  
Comparison Of The Results ◽  
High Level

In this paper, nonlinear vibration of electrostatically actuated microbeam is analyzed using differential transformation method. The high level of accuracy of the analytical solutions of the method was established through comparison of the results of the solutions of exact analytical method, variational approach, homotopy analysis method and energy balance methods. Also, with the aid of the present analytical solution, the time response, velocity variation and the phase plots of the system are presented graphically. It is hope that the method will be widely applied to more nonlinear problems of systems in various fields of study. 

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