Search Results - "Alal Hosen, Md"
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Accurate approximations of the nonlinear vibration of couple-mass-spring systems with linear and nonlinear stiffnesses
Published in Journal of low frequency noise, vibration, and active control (01-06-2021)“…An analytical technique has been developed based on the harmonic balance method to obtain approximate angular frequencies. This technique also offers the…”
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2
A new modified Lindstedt–Poincare method for nonlinear damped forced oscillations
Published in Results in physics (01-08-2023)“…•A new modified Lindstedt–Poincare method for nonlinear damped forced oscillations has been discussed.•The proposed method is removed the limitations of the…”
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3
Approximate solutions of the equation of motion’s of the rigid rod which rocks on the circular surface without slipping
Published in Ain Shams Engineering Journal (01-09-2014)“…In this paper, a modified harmonic balance method based an analytical technique has been developed to determine approximate solutions for a strongly nonlinear…”
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4
Nonlinear Vibration of Electrostatically Actuated Microbeam
Published in Mathematics (Basel) (01-12-2022)“…In this paper, an analytical technique based on the global residue harmonic balance method (GRHBM) is applied in order to obtain higher-order approximate…”
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5
High-order approximate solutions of strongly nonlinear cubic-quintic Duffing oscillator based on the harmonic balance method
Published in Results in physics (2017)“…In this paper, a new reliable analytical technique has been introduced based on the Harmonic Balance Method (HBM) to determine higher-order approximate…”
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6
A new analytical technique based on harmonic balance method to determine approximate periods for Duffing-harmonic oscillator
Published in Alexandria engineering journal (01-06-2015)“…The Duffing-harmonic oscillator is a common model for nonlinear phenomena in science and engineering. In this paper, a new analytical technique has been…”
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7
A new reliable analytical solution for strongly nonlinear oscillator with cubic and harmonic restoring force
Published in Results in physics (01-01-2015)“…In the present paper, a complicated strongly nonlinear oscillator with cubic and harmonic restoring force, has been analysed and solved completely by harmonic…”
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8
An analytical technique to obtain higher-order approximate periods for nonlinear oscillator
Published in IIUM engineering journal (01-12-2018)“…This paper presents simulation results of the influence of wide range modulation index values ( ) in carrier-based PWM strategy for application in generating…”
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9
A novel analytical approximation technique for highly nonlinear oscillators based on the energy balance method
Published in Results in physics (2016)“…In the present paper, a novel analytical approximation technique has been proposed based on the energy balance method (EBM) to obtain approximate periodic…”
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10
Analysis of nonlinear vibration of couple-mass–spring systems using iteration technique
Published in Multidiscipline modeling in materials and structures (08-10-2020)“…PurposeAn iteration technique has been developed based on the Mickens iteration method to obtain approximate angular frequencies. This technique also offers…”
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11
A modified harmonic balance method to obtain higher-order approximations to strongly nonlinear oscillators
Published in Journal of interdisciplinary mathematics (02-10-2020)“…We propose a new method, namely, the modified harmonic balance method. This paper also analyses and offers the high-order approximate periodic solutions to the…”
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12
A Modified Energy Balance Method to Obtain Higher-order Approximations to the Oscillators with Cubic and Harmonic Restoring Force
Published in Journal of applied and computational mechanics (01-04-2020)“…This article analyzes a strongly nonlinear oscillator with cubic and harmonic restoring force and proposes an efficient analytical technique based on the…”
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13
An analytical technique for solving a class of strongly nonlinear conservative systems
Published in Applied mathematics and computation (2012)“…Recently, an analytical technique has been developed to determine approximate solutions of strongly nonlinear differential equations containing higher order…”
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14
The rapidly convergent solutions of strongly nonlinear oscillators
Published in SpringerPlus (04-08-2016)“…Based on the harmonic balance method (HBM), an approximate solution is determined from the integral expression (i.e., first order differential equation) of…”
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15
Determination of Approximate Periods of Duffing-harmonic Oscillator
Published in Walailak journal of science and technology (01-05-2014)“…We introduced an analytical technique based on harmonic balance method (HBM) to determine approximate periods of a nonlinear Duffing-harmonic oscillator…”
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