The Structural Influence of the Forces of the Stability of Dynamical Systems
نویسندگان
چکیده
In this paper, we consider the autonomous dynamical system linear or linearized with 2 degrees of freedom. In the system of equations of 4th degree, the structure generalized forces appear: K(q) the conservative forces, N(q) the non-conservative forces, D(q̇) the dissipative forces, G(q̇) the gyroscopically forces. In the linear system, these forces from the different structural combinations can produce the stability or the instability of the null solution. The theorems of Thomson Tait Cetaev (T-T-C) are known for the configurations (K, D, G). We introduce the non – conservative forces N , studying the stability with the Routh Hurwitz criterion or constructing the Lyapunov function, obtaining some theorems with practical applications.
منابع مشابه
Determination of Stability Domains for Nonlinear Dynamical Systems Using the Weighted Residuals Method
Finding a suitable estimation of stability domain around stable equilibrium points is an important issue in the study of nonlinear dynamical systems. This paper intends to apply a set of analytical-numerical methods to estimate the region of attraction for autonomous nonlinear systems. In mechanical and structural engineering, autonomous systems could be found in large deformation problems or c...
متن کاملDynamical stability of cantilevered pipe conveying fluid in the presence of linear dynamic vibration absorber
When the velocity of fluid flow in a cantilevered pipe is successively increased, the system may become unstable and flutter instability would occur at a critical flow velocity. This paper is concerned with exploring the dynamical stability of a cantilevered fluid-conveying pipe with an additional linear dynamic vibration absorber (DVA) attachment. It is endeavoured to show that the stability o...
متن کاملThe Study of Nonlinear Dynamical Systems Nuclear Fission Using Hurwitz Criterion
In this paper, the nonlinear dynamic system of equations, a type of nuclear ssion reactor is solved analytically and numerically. Considering that the direct solution of three-dimensional dynamical systems analysis and more in order to determine the stability and instability, in terms of algebraicsystems is dicult. Using certain situations in mathematics called Hurwitz criterion, Necessary and ...
متن کاملA General Rule for the Influence of Physical Damping on the Numerical Stability of Time Integration Analysis
The influence of physical damping on the numerical stability of time integration analysis is an open question since decades ago. In this paper, it is shown that, under specific very general conditions, physical damping can be disregarded when studying the numerical stability. It is also shown that, provided the specific conditions are met, analysis of structural systems involved in extremely hi...
متن کاملسازه، فرم و معماری
The architectural form is affected by numerous factors including functional, economic, socio-cultural, climatic as well as structural requirements and stability. Among these factors, structure receives considerable attention as it has a critical role in generating form and its stability. Stability has always been an essential property of architectural forms, thus it is crucial to study structur...
متن کاملApplication of Dynamical Systems in Cancer Therapy
In this paper, we have proposed and analyzed a mathematical model for the study of interaction between tumor cells and oncolytic viruses. The model is analyzed using stability theory of differential equations.
متن کامل