On the vibrations of lumped parameter systems governed by differential-algebraic equations
نویسندگان
چکیده
منابع مشابه
On the vibrations of lumped parameter systems governed by differential-algebraic equations
In this paper, we consider the vibratory motions of lumped parameter systems wherein the components of the system cannot be described by constitutive expressions for the force in terms of appropriate kinematical quantities. Such physical systems reduce to a system of differentialalgebraic equations, which invariably need to be solved numerically. To illustrate the issues with clarity, we consid...
متن کاملNumerical time integration of lumped parameter systems governed by implicit constitutive relations
Time-integration for lumped parameter systems obeying implicit Bingham-Kelvin constitutive models is studied. The governing system of equations describing the lumped parameter system is a non-linear differential-algebraic equation and needs to be solved numerically. The response of this system is non-smooth and the kinematic variables can not be written in terms of the dynamic variables, explic...
متن کاملComputational Optimization of Systems Governed by Partial Differential Equations
TO ORDER, SHOP ONLINE AT www.siam.org/catalog. Use your credit card (AMEX, MasterCard, and VISA) by phone: +1-215-382-9800 worldwide, fax: +1-215-386-7999, or e-mail: [email protected]. Or send check or money order in US dollars to: SIAM, Dept. BKGM12, 3600 Market Street, 6th Floor, Philadelphia, PA 19104-2688 USA. Members and customers outside North America can also order SIAM books through S...
متن کاملDifferential Equations by using matrix algebraic systems
The paper develops the method for construction of families of particular solutions to some classes of nonlinear Partial Differential Equations (PDE). Method is based on the specific link between algebraic matrix equations and PDE. Admittable solutions involve arbitrary functions of either single or several variables.
متن کاملOn parameter and state estimation for linear differential-algebraic equations
The current demand for more complex models has initiated a shift away from state-space models towards models described by differential-algebraic equations (DAEs). These models arise as the natural product of object-oriented modeling languages, such as Modelica. However, the mathematics of DAEs is somewhat more involved than the standard state-space theory. The aim of this work is to present a w...
متن کاملذخیره 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: Journal of the Franklin Institute
سال: 2010
ISSN: 0016-0032
DOI: 10.1016/j.jfranklin.2009.11.005