Non-smooth mechanics is a modeling approach in mechanics which does not require the time evolutions of the positions and of the velocities to be smooth...
3 KB (443 words) - 05:26, 24 October 2023
(France). He may also be considered as the father of non-smooth mechanics, a field of Solid Mechanics dealing with mechanical systems subjected to unilateral...
6 KB (669 words) - 10:51, 5 March 2023
surfaces Goniometer – Angle measuring instrument Non-smooth mechanics – Modeling approach in mechanics Plastic wrap – Thin plastic film used for sealing...
72 KB (12,064 words) - 20:47, 19 August 2024
Unilateral contact (category Mechanics)
contact mechanics. In non-smooth method, unilateral interactions between bodies are fundamentally modelled by the Signorini condition for non-penetration...
18 KB (2,392 words) - 02:57, 9 April 2023
mathematics, Nambu mechanics is a generalization of Hamiltonian mechanics involving multiple Hamiltonians. Recall that Hamiltonian mechanics is based upon...
6 KB (735 words) - 04:26, 12 February 2024
Contact dynamics (category Mechanics)
Non-smooth Mechanics and Applications, CISM Courses and Lectures. Springer, Wien, 1988 Pfeiffer F., Foerg M. and Ulbrich H. Numerical aspects of non-smooth...
11 KB (1,337 words) - 00:56, 13 May 2024
below (Springer LNACM 35, 2008). See also the other references on non-smooth mechanics. There are approaches to automatically proving properties of hybrid...
13 KB (1,549 words) - 21:38, 2 March 2024
Friction (category Classical mechanics)
adhesion Friction Acoustics Frictionless plane Galling Lateral adhesion Non-smooth mechanics Normal contact stiffness Stick-slip phenomenon Transient friction...
74 KB (8,807 words) - 12:34, 12 May 2024
quantum mechanics. Let ( M , L ) {\displaystyle (M,{\mathcal {L}})} be a mechanical system with the configuration space M {\displaystyle M} and the smooth Lagrangian...
52 KB (9,275 words) - 04:30, 11 August 2024
Fluid mechanics is the branch of physics concerned with the mechanics of fluids (liquids, gases, and plasmas) and the forces on them.: 3 It has applications...
21 KB (2,654 words) - 04:02, 12 July 2024
non-smooth dynamical systems (NSDS): Mechanical systems (Rigid body or solid) with Unilateral contact and Coulomb friction as we find in Non-smooth mechanics...
6 KB (484 words) - 00:01, 23 August 2024
Classical mechanics is a physical theory describing the motion of objects such as projectiles, parts of machinery, spacecraft, planets, stars, and galaxies...
52 KB (5,830 words) - 01:11, 5 August 2024
analytique. Lagrangian mechanics describes a mechanical system as a pair (M, L) consisting of a configuration space M and a smooth function L {\textstyle...
90 KB (14,229 words) - 15:08, 6 August 2024
International Centre for Mechanical Sciences. Udine. Italy. 1987. In Non Smooth Mechanics and Applications. Ed. J.J. Moreau, P.D. Panagiotopoulos. CISM Course...
14 KB (1,802 words) - 13:52, 11 March 2024
Symplectic manifold (category Smooth manifolds)
differential geometry, a subject of mathematics, a symplectic manifold is a smooth manifold, M {\displaystyle M} , equipped with a closed nondegenerate differential...
23 KB (3,630 words) - 10:43, 12 February 2024
autonomous system is a dynamic equation on a smooth manifold. A non-autonomous system is a dynamic equation on a smooth fiber bundle Q → R {\displaystyle Q\to...
2 KB (414 words) - 21:24, 6 August 2019
Poisson manifold (category Smooth manifolds)
generalises the phase space from Hamiltonian mechanics. A Poisson structure (or Poisson bracket) on a smooth manifold M {\displaystyle M} is a function...
61 KB (9,227 words) - 13:51, 23 July 2024
geometric structure on smooth manifolds given by a hyperplane distribution in the tangent bundle satisfying a condition called 'complete non-integrability'....
19 KB (2,431 words) - 08:01, 13 July 2024
Differentiable manifold (redirect from Non-smoothable manifold)
given atlas; for instance, one can modify the identity map localized non-smooth bump. Then consider the new atlas { ( Φ − 1 ( U α ) , ϕ α ∘ Φ ) } α ∈...
67 KB (9,495 words) - 02:22, 11 July 2024
Contact mechanics is the study of the deformation of solids that touch each other at one or more points. This can be divided into compressive and adhesive...
31 KB (5,014 words) - 12:59, 20 November 2023
Softmax function (redirect from Softmax function in statistical mechanics)
arg max are known as non-singular or regular points. With the last expression given in the introduction, softargmax is now a smooth approximation of arg...
30 KB (4,737 words) - 05:00, 9 July 2024
Smoothed-particle hydrodynamics (SPH) is a computational method used for simulating the mechanics of continuum media, such as solid mechanics and fluid...
70 KB (9,777 words) - 07:35, 19 July 2024
In continuum mechanics, stress is a physical quantity that describes forces present during deformation. For example, an object being pulled apart, such...
44 KB (5,561 words) - 10:45, 8 July 2024
quantum-mechanical analog of the classical harmonic oscillator. Because an arbitrary smooth potential can usually be approximated as a harmonic potential at the vicinity...
44 KB (6,974 words) - 10:38, 15 August 2024
mechanics is a branch of soil physics and applied mechanics that describes the behavior of soils. It differs from fluid mechanics and solid mechanics...
60 KB (8,954 words) - 10:27, 8 June 2024
Fundamental lemma of the calculus of variations (category Smooth functions)
supported smooth functions h {\displaystyle h} on ( a , b ) {\displaystyle (a,b)} , then f {\displaystyle f} is identically zero. Here "smooth" may be interpreted...
9 KB (1,621 words) - 05:33, 29 July 2024
Quantum superposition (redirect from Superposition (quantum mechanics))
Quantum superposition is a fundamental principle of quantum mechanics that states that linear combinations of solutions to the Schrödinger equation are...
38 KB (6,041 words) - 18:52, 20 August 2024
Poisson bracket (category Hamiltonian mechanics)
In mathematics and classical mechanics, the Poisson bracket is an important binary operation in Hamiltonian mechanics, playing a central role in Hamilton's...
23 KB (3,770 words) - 19:12, 20 June 2024
differentiable (differentiability implies continuity). Modern day quantum mechanics is sometimes seen as violating the principle, with its idea of discrete...
7 KB (740 words) - 12:48, 4 November 2023
modeling engineering by picking edges of interest and invoking the function. Smooth edges connecting two simple flat features are generally simple for a computer...
3 KB (397 words) - 17:35, 14 June 2024