Comment on “New exact solution of Euler’s equations (rigid body dynamics) in the case of rotation over the fixed point”
Sign Up to like & getrecommendations! Published in 2017 at "Archive of Applied Mechanics"
DOI: 10.1007/s00419-016-1173-1
Abstract: The analysis of the paper “New exact solution of Euler’s equations (rigid body dynamics) in the case of rotation over the fixed point” is made. It is shown that the solution is reduced to a… read more here.
Keywords: euler; case; exact solution; rotation ... See more keywords
Exact solution of Arrhenius equation for non-isothermal kinetics at constant heating rate and n-th order of reaction
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DOI: 10.1007/s10910-019-01056-7
Abstract: This paper provides exact solution of Arrhenius equation for non-isothermal kinetics at constant heating rate and n th-order of reaction instead of using numerical methods. This model is built to be capable of solving one… read more here.
Keywords: exact solution; solution arrhenius; solution; order reaction ... See more keywords
Dynamical behavior and exact solution in invariant manifold for a septic derivative nonlinear Schrödinger equation
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-017-3468-3
Abstract: In this paper, we consider a pulse dynamics in nonlinear optics (fiber-optic communications) in the presence of both self-steepening and septic nonlinear effects. Propagating profiles of the septic derivative nonlinear Schrödinger model which are isolated… read more here.
Keywords: derivative nonlinear; nonlinear schr; exact solution; dynamical behavior ... See more keywords
On the Exact Solution of Time-Fractional (2 + 1) Dimensional Konopelchenko–Dubrovsky Equation
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DOI: 10.1007/s40819-019-0678-z
Abstract: The analysis of nonlinear equations performs a significant part in examining the physical phenomena. In this article, the exact solution of time-fractional (2 + 1) dimensional Konopelchenko–Dubrovsky equation (KDE) has been derived by utilising the Kudryashov method.… read more here.
Keywords: solution time; time fractional; exact solution; fractional dimensional ... See more keywords
Effects of local thinning defects and stepped thickness for free vibration of cylindrical shells using a symplectic exact solution approach
Sign Up to like & getrecommendations! Published in 2021 at "Acta Astronautica"
DOI: 10.1016/j.actaastro.2020.09.046
Abstract: Abstract Based on the Reissner shell theory and a new symplectic method, an analytical exact solution approach is presented in this paper to deal with free vibration of stepped cylindrical shells with thickness variations in… read more here.
Keywords: vibration; cylindrical shells; solution approach; exact solution ... See more keywords
3-D exact solution of two-layer plate bonded by a viscoelastic interlayer with memory effect
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DOI: 10.1016/j.compstruct.2016.12.073
Abstract: Abstract An exact solution for simply supported two-layer plate sandwiching a thin viscoelastic interlayer under transverse load is proposed. The deformation of each plate layer is described by the exact three-dimensional linear elasticity equations. The… read more here.
Keywords: layer; interlayer; effect; plate ... See more keywords
Exact solution of axial liquid-pipe vibration with time-line interpolation
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Fluids and Structures"
DOI: 10.1016/j.jfluidstructs.2016.12.011
Abstract: Abstract The axial vibration of liquid-pipes, considering the fluid-structure interaction (FSI), can be described by a four-equation model consisting of two equations for the fluid and the other two for the pipe wall. When distributed… read more here.
Keywords: accuracy; exact solution; solution; interpolation ... See more keywords
Exact solution of non-Newtonian fluid motion between side walls
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DOI: 10.1016/j.rinp.2018.09.023
Abstract: Abstract In this paper non-Newtonian flow (Brinkman) type fluid over an infinite plate between side walls is being investigated. The flow is generated by oscillating shear stress of the bottom plate and the solutions are… read more here.
Keywords: fluid; side walls; non newtonian; exact solution ... See more keywords
Exact solution of free vibration of adjacent buildings interconnected by visco-elastic dampers
Sign Up to like & getrecommendations! Published in 2020 at "Theoretical and Applied Mechanics Letters"
DOI: 10.1016/j.taml.2020.01.016
Abstract: ABSTRACT With consideration of a high-rise coupled building system, a flexible beams-based analytical model is setup to characterize the dynamic behavior of the system. The general motion equation for the two beams interconnected by multiple… read more here.
Keywords: solution free; visco elastic; elastic dampers; exact solution ... See more keywords
Galerkin’s method revisited and corrected in the problem of Jaworski and Dowell
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DOI: 10.1016/j.ymssp.2020.107604
Abstract: Abstract This paper revisits the problem first studied by Jaworski and Dowell, namely, the free vibration of multi-step beams. Previous authors utilized approximate method of Ritz as well as the finite element method with attendant… read more here.
Keywords: jaworski dowell; problem; method; galerkin method ... See more keywords
Exact solution of pulled, directed vesicles with sticky walls in two dimensions
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5083149
Abstract: We analyse a directed lattice vesicle model incorporating both the binding-unbinding transition and the vesicle inflation-deflation transition. From the exact solution we derive the phase diagram for this model and elucidate scaling properties around the… read more here.
Keywords: vesicles sticky; solution pulled; directed vesicles; exact solution ... See more keywords