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Steady state vibration of the periodically forced and damped pure nonlinear two-degrees-of-freedom oscillator

100%

Cveticanin L. , Zukovic M. , Cveticanin D.

Journal of Theoretical and Applied Mechanics

2019

tom Vol. 57 nr 2

445--460

In the paper, a pure nonlinear and damped two-mass oscillator excited with a periodical force is considered. The oscillator is modelled with a system of two coupled second order nonlinear and non-homogenous equations. Using the model, two problems are investigated: one, identification of the excitation force for the known vibrating response of the system, and the second, determination of vibrations of the system excited with the known periodical force. Using the steady-state motion of the nonlinear oscillator, a method for identification of the excitation force is developed. For the pure nonlinear oscillator, it is obtained that the forcing function has the form of the Ateb function. However, if the excitation force is known, the procedure for computing the steady-state vibration of the system is introduced. The solution corresponds to steady-state vibrations of the free oscillator, but the amplitude and phase are assumed to be time variable. The averaged solutions are obtained for the pure nonlinear oscillator with an additional linear elastic force and for the van der Pol oscillator. Analytically obtained solutions are compared with numerical ones. They are in good agreement.

Stability and accuracy of steady-state motions in loaded copying system : analytical approach

86%

Halanay A. , Safta C. A.

Computer Assisted Mechanics and Engineering Sciences

1999

tom Vol. 6, No. 1

107-136

An analyticalstudy of stability is made for a hydromechanical servomechanism used in copying systems. In the framework of a nonlinear system of ODE mathematically modelling the servomechanism, we prove that for a ramp input the steady-state solution bifurcates into a stable limit cycle for a certain value of the underlap spool valve.

Weryfikacja eksperymentalna modelu symulacyjnego ruchu samochodu LTV Dzik

58%

Lozia Z. , Simiński P. , Zdanowicz P.

Zeszyty Naukowe Instytutu Pojazdów / Politechnika Warszawska

2008

tom z. 3/70

37-46

Artykuł przedstawia wyniki weryfikacji eksperymentalnej programu symulacyjnego ruchu samochodu patrolowo-interwencyjnego Dzik. Opisano obiekt rzeczywisty, zastosowaną aparaturę pomiarową oraz porównanie wyników symulacji i eksperymentu dla dwóch typowych manewrów: ruchu po okręgu i wymuszenia skokowego na kole kierownicy z liniowym okresem narastania.

The paper presents results of experimental verification of simulation model of LTV vehicle (Light Tactical Vehicle) Dzik. The real object is described as well as applied measurement system. Comparison of measured and simulated results is presented for two typical manoeuvres: steady-state motion and step input on the steering wheel.