Results 81 to 90 of about 71,208 (194)
Dynamics of a Parametrically Excited System with Two Forcing Terms
Mathematics, 2014 Motivated by the dynamics of a trimaran, an investigation of the dynamic behaviour of a double forcing parametrically excited system is carried out. Initially, we provide an outline of the stability regions, both numerically and analytically, for the ...
Anastasia Sofroniou, Steven Bishop
doaj +1 more source
Resonance regions of extended Mathieu equation
Journal of Physics: Conference Series, 2016 One of the mechanisms of energy transfer between degrees of freedom of dusty plasma system is based on parametric resonance. Initial stage of this process can de described by equation similar to Mathieu equation. Such equation is studied by analytical and numerical approach. The numerical solution of the extended Mathieu equation is obtained for a wide
V P Semyonov, A V Timofeev
openaire +1 more source
INVESTIGATION OF PARAMETRIC OSCILLATORY MOVEMENTS IN THE AUTOMOTIVE SYSTEM
International Journal of Advanced StudiesThe aim of the study is to understand the stability of automotive systems by studying parametric oscillations. The Mathieu function is used to calculate the eigenvalues of the system, which are crucial for determining the behavior of the system over time.
Tatiana V. Avetisyan +2 more
doaj +1 more source
Vibrations of a Rotating Hanged String with a Heavy Tip Mass
Engineering TransactionsThe vibrations of a string-mass system are considered. A heavy mass is suspended from a string, and the system is subjected to axial rotation. The partial differential equation modeling the system’s dynamics is first derived.
Mehmet PAKDEMIRLI
doaj +1 more source
Stable Motion of the Charged Micron-Sized Particle in Alternating Electric Field of the Quadrupole Type at Atmospheric Pressure [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2015 The conditions for stable motion of the charged micron-sized particle in alternating electric fields of the quadrupole type at atmospheric pressure in air were found using the Brownian dynamics method. The strong influence of the dynamic viscosity of the
D.S. Lapitsky, V.S. Filinov
doaj
Modeling of turbulent fluid flow based on the solution of the Mathieu equation
Вестник Дагестанского государственного технического университета: Технические наукиObjective. This work examines the problem of fluid flow simulation in a turbulent regime. The main reasons why turbulent flow occurs are due to the existence of high velocities of movement in fluids; besides that, there may be obstacles or changes in the
V. V. Garbuzov, A. P. Preobrazhensky
doaj +1 more source
A Method to Simulate the Heave-Pitch Coupled Motion of Spar Platforms
IEEE AccessThe purpose of this work is to explore the internal resonance exhibited by the heave-pitch coupled motion of a classic Spar platform via an equivalent analog circuit method.
Zhenhua Zhang, Chuyi Wang, Min Li
doaj +1 more source
MathematicsTo solve the nonlinear vibration problems of second- and third-order nonlinear oscillators, a modified harmonic balance method (HBM) is developed in this paper.
Chein-Shan Liu +2 more
doaj +1 more source
, 2015 We derive Pythagoras theorem. From the Pythagoras theorem, we also derive Mathieu's equation via modified Mathieu's equation. A spectral com- parison has been carried out between modified Mathieu's equation and Mathieu's equation. Apart from this, we also present discrete bound states corresponding to modified Mathieu's equation of a quantum ...
openaire +2 more sources
Comb Model in Periodic Potential. [PDF]
Entropy (Basel)Iomin A, Milovanov A, Sandev T.
europepmc +1 more source