Degree of freedom (mechanics)Any one of the number of independent ways in which the space configuration of a mechanical system ma…Fisher, Russell A
Degrees of Freedom (dof) – The number of independent coordinates required to define/constrain the position of all links with respect to ground. CRITICAL SECTIONS Formula for Calculating the Mechanism Mobility:the minimum number of independent parameters (coordinates) required to specify the position of...
First, the constitutive relation of a plan-type dielectric elastomer actuator and then the vibrating equation of the multi-degree-of-freedom nonlinear system around the equilibrium position are derived successively. The bounded/unbounded optimal control problems are then established by adopting the ...
of arbitrarily given orthogonal tensor by use of Cayley-Hamilton theorem;these results make it possible to solve all the eigenvalues of anyorthogonal tensor based on a quite reduced equation of m-th order.where m is the integerpart of n/2.Finally,the formulae of the degree of freedom of ...
population density in biological kinetics have positive value and even integers, the mechanical values in mechanics cover all range of real values or could even be imaginary. This certainly influences the difference between the description of degrees of freedom in classical mechanics and that in ...
What is the meaning of degrees of freedom? Explain degrees of freedom, its formula & illustrations for monoatomic, diatomic and triatomic gas molecules. Mention two factors on which the degrees of freedom of a gas depends on. What ...
Here we analyse this relation for a particle possessing an internal degree of freedom such as spin. We quantify the trade-off with a general inequality that paints an unexpectedly intricate picture of wave–particle duality when internal states are involved. Strikingly, in some instances which-way...
This paper investigates the steady-state response of a harmonically excited multi-degree-of-freedom (MDOF) system with a Coulomb contact between: (1) a mass and a fixed wall; (2) two different masses; (3) a mass and an oscillating base. Although discrete MDOF models are commonly used at...
The proposed technique completely eliminates the uncertainty induced by a polynomial approxi- mation of curved boundaries that is common within an isoparametric approach and, compared to other DG methods, provides a significant reduction in number of degrees of freedom. In addition, by exploiting the...
A method based on Hamilton’s principle and spectral analysis has been applied recently to nonlinear free vibrations of two and multi-degree-of-freedom (2-dof) and (N-dof) systems with cubic nonlinearities. This leads to calculation of the nonlinear free modes of vibration and their associated...