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Analytical approximate solutions for asymmetric conservative oscillators

Archive of Applied Mechanics, 2019
This paper focuses on the construction of analytical approximate solutions for an asymmetric conservative single-degree-of-freedom oscillator. First, based on the asymmetric oscillator, two symmetric ones are introduced; then, the second-order Newton iteration method and the harmonic balance method are applied to the two oscillators, respectively ...
Weijia Liu   +3 more
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Analytic approximate solutions to electrically actuated MEMS

AIP Conference Proceedings, 2020
The paper presents a combination of the Galerkin-Bubnov decomposition procedure and Optimal Homotopy Asymptotic Method (OHAM) to derive analytical approximate solutions to nonlinear vibration of clamped-clamped micro-electro-mechanical system (MEMS).
Nicolae Herisanu, Vasile Marinca
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An Approximate Analytical Solution for the Stepped Bearing

Journal of Applied Mechanics, 1961
Previously, solutions of the problem of the Rayleigh-type bearing with a step which is not straight have involved the use of the electrolytic tank or the use of relaxation methods, both of which are somewhat inconvenient as compared with the approximate analytical method described in this paper.
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Optimal arch: Approximate analytical and numerical solutions

Computers & Structures, 1994
Summary: This paper deals with the problem of the optimal arch as a uniformly compressed arch subjected to static loads, and two approximate solutions are proposed. The first is analytical and treats a symmetrical arch whose height/span ratio should not be too high; the second is numerical and treats an arch subjected to both vertical and horizontal ...
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Approximate analytic solutions of adiabatic capillary tube

International Journal of Refrigeration, 2004
Approximate analytic solution of capillary tube is valuable for theoretical analysis and engineering calculation. In this work, two kinds of approximate analytic solutions of adiabatic capillary tube have been developed. One is the explicit function of capillary tube length. Another is the explicit function of refrigerant mass flow rate.
Chunlu Zhang, Guoliang Ding
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Approximate analytical solution of generalized diode equation

IEEE Transactions on Electron Devices, 1991
An approximate but very precise analytical solution is derived of a generalized diode equation. This solution can be used in the theory of semiconductor diodes, photodetectors, solar cells, FETs (field-effect transistors), Gunn domain, and other areas of device physics.
T.A. Fjeldly, B.-J. Moon, M. Shur
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Approximate Analytical Solutions for the Colebrook Equation

Journal of Hydraulic Engineering, 2018
AbstractFriction factor determination is important for modeling fluid flows in pipes. The Colebrook equation has been widely used for estimating the pipe friction factor in fully developed turbulen...
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Dispersion in Three Dimensions: Approximate Analytic Solutions

Journal of the Hydraulics Division, 1982
Solutions to three-dimensional convection dispersion equation under different boundary conditions are obtained by integrating the appropriate Green's functions. Two approximations are used during the integration. First, error function differences are approximated by exponential functions through Taylor expansion.
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Approximate Analytical Solutions to Jerk Equations

2021
Vasile Marinca   +2 more
openaire   +1 more source

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