The theoretical analysis is given in order to derive the equation of motion in a fractional framework. The new equation has a complicated structure involving the left and right fractional derivatives of Caputo-Fabrizio type, so a new numerical method is developed in order to solve the above-...
of motion refraction of light maxwell's equation electrostatics bernoulli's principle projectile motion electric charge physics symbols more chemistry periodic table stereochemistry organic compounds inorganic chemistry quantum numbers atomic mass of elements periodic properties of elements 118 elements and their...
is a numerical integration technique for solving a matrix differential equation of the form $$\begin{aligned} \dot{y} = f(y,t), \quad y(0) = y_0, \quad y(t) \in \mathbb {r}^{m \times n}, \quad t\in \left[ 0,t_{\text {end}}\right] . \end{aligned}$$ (5.4) such...
Hyperelastic constitutive models defined by this strain measure are known to accurately model the response of rubber, and similar materials. These models may not be available in the library of a Finite Element Analysis software, but a numerical implementation of the constitutive model may be provided...
initial value problemsintegration/ period preserving schemesnumerical integrationequation of motiondifferential equation of motionnumerically engendered energy sinkspurious viscosityNot Availabledoi:10.1006/jsvi.2000.3125I. FRIEDElsevier LtdJournal of Sound & Vibration...
On the basis of the potential flow theory, Lagrange's equation of motion is used to study the unsteady ground-effect problem. The forces and moments acting on the moving body are solved in terms of the derivatives of added masses in which the generalized Taylor's formulae are applied. The...