Modelling the dynamic response of a micro-cantilever excited at its base by an arbitrary thermal input using Laplace transformation
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DOI: 10.1016/j.apm.2016.11.017
Abstract: Abstract An analytical model for predicting the time-history response of a cantilever beam to arbitrary time-dependent thermal actuation is elaborated in this paper. Base excitation is investigated as a practical method for thermally exciting the… read more here.
Keywords: micro cantilever; base; laplace transformation; cantilever ... See more keywords
Investigation of fluid flow mechanisms in fractured porous media using a Laplace transformation coupled embedded discrete fracture protocol
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DOI: 10.1016/j.petrol.2021.109356
Abstract: Abstract Numerical simulation of fluid flow in fractured porous media is a challenging topic due to the intensive computational overhead brought by the complex and heterogeneous characteristics of fracture networks. In this paper, Laplace Transformation… read more here.
Keywords: fractured porous; laplace transformation; fluid flow; porous media ... See more keywords
Hybridization of homotopy perturbation method and Laplace transformation for the partial differential equations
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DOI: 10.2298/tsci160715078l
Abstract: Homotopy perturbation method is combined with Laplace transformation to obtain approximate analytical solutions of non-linear differential equations. An example is given to elucidate the solution process and confirm reliability of the method. The result indicates… read more here.
Keywords: homotopy perturbation; perturbation method; laplace transformation; method ... See more keywords