Rattle dynamics of noncircular face gear under multifrequency parametric excitation

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Parametric Excitation and Evolutionary Dynamics

Parametric excitation refers to dynamics problems in which the forcing function enters into the governing differential equation as a variable coefficient. Evolutionary dynamics refers to a mathematical model of natural selection (the “replicator” equation) which involves a combination of game theory and differential equations. In this paper we apply perturbation theory to investigate parametric...

متن کامل

Parametric Excitation in Nonlinear Dynamics

Consider a one-mass system with two degrees of freedom, nonlin-early coupled, with parametric excitation in one direction. Assuming the internal resonance 1:2 and parametric resonance 1:2 we derive conditions for stability of the trivial solution by using both the harmonic balance method and the normal form method of averaging. If the trivial solution becomes unstable a stable periodic solution...

متن کامل

Delay, Parametric Excitation, and the Nonlinear Dynamics of Cutting Processes

It is a rule of thumb that time delay tends to destabilize any dynamical system. This is not true, however, in the case of delayed oscillators, which serve as mechanical models for several surprising physical phenomena. Parametric excitation of oscillatory systems also exhibits stability properties sometimes defying our physical sense. The combination of the two effects leads to challenging tas...

متن کامل

Dynamics of an oscillator with delay parametric excitation

This paper involves the dynamics of a delay limit cycle oscillator being driven by a time-varying perturbation in the delay: _ x 1⁄4 x t TðtÞ ð Þ εx3 with delay TðtÞ 1⁄4 2þεkþε cos ωt. This delay is chosen to periodically cross the stability boundary for the x1⁄40 equilibrium in the constant-delay system. For most of parameter space, the system is non-resonant, leading to quasiperiodic behavior...

متن کامل

Study on van der Pol Oscillator under Noisy Parametric Excitation

We calculated Eq. (4) by using the Runge-Kutta method. The attractors obtained by the simulations are shown in Fig. 3(a). We can confirm the generation of periodic and chaotic attractors. In order to investigate the attractors in van der Pol oscillator under noisy parametric excitation in detail, we consider the Poincaré map. The result of the Poincaré map are shown in Fig. 3(b). We can see tha...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Mechanical Sciences

سال: 2021

ISSN: 2191-916X

DOI: 10.5194/ms-12-361-2021