Theoretically the molecular structure is determined by solving the quantum mechanical equation for the motion of the electrons in the field of the nuclei (called the Schrödinger equation).
The effect of resonance in a mechanical equation is very important to scientists.
Scientists usually work hard to eliminate resonance from a mechanical equation, as they perceive it to be counter-productive.
Nearly every mechanical equation will exhibit some resonance and can, with the application of even a very small external pulsed force, be stimulated to do just that.
The model consists of the Nernst Planck diffusion-reaction equations for mobile species, Poisson equation for electric potential, and the mechanical equation for the gel displacement.
In this paper, the main objective is to propose a complete mathematical model, including the driving circuit, Bouc Wen hysteresis and mechanical equation, to describe the system.
Nonlinear integro-differential thermo-electro mechanical equation based on Euler Bernoulli beam theory has been derived and solved using Step-by-Step Linearization Method and Finite Difference Method.
The second-order mechanical equation of a synchronous machine can be decomposed into two first-order differential equations: one for the mechanical angular velocity of the rotor ωr and the other for the mechanical rotor angle δ.
The observability analysis of this model is first performed by assuming that a third order ECKF has to be designed, by neglecting the mechanical equation of the IM model, which is a valid hypothesis when the motor is operated at constant rotor speed.
It is composed of the Nernst Planck equation for the mobile species in the solvent, the Poisson equation for the electric potential, and a nonlinear mechanical equation for the large deformations of the hydrogel that arise due to the conversion of chemical energy to mechanical.
This phenomenon was not discovered until the formulation of the relativistic quantum mechanical equation by Dirac.
