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Non-smooth mechanics print that page

Non smooth mechanics From Wikipedia, the free encyclopedia Jump to: navigation , search 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 functions anymore. Due to possible | 2010/9/25 0:39:20

Transmission (mechanics) print that page


A machine consists of a power source and a power transmission system, which provides controlled application of the power. Merriam-Webster defines transmission as: an assembly of parts including the speed-changing gears and the propeller shaft by which the power is transmitted from an engine

Dirac delta function print that page

Relationship to the Kronecker delta 10 Applications to probability theory 11 Application to quantum mechanics 12 Application to structural mechanics 13 Notes 14 See also 15 References 16 External links [ edit ] Overview The graph of the delta function is usually thought | 2011/6/9 4:06:23

Nambu mechanics print that page

In mathematics , Nambu dynamics is a generalization of Hamiltonian mechanics involving multiple Hamiltonians. Recall that Hamiltonian mechanics is based upon the flows generated by a smooth Hamiltonian over a symplectic manifold . The flows are symplectomorphisms and hence obey Liouville | 2011/5/10 1:38:47

Aristotelian mechanics print that page


The main principles of Aristotle's dynamics are: Natural places : Objects of different weight settle at different layers relative to the center of the Earth, which is also the center of the universe. The relative proportion of the four elements composing an object determines its weight. The

Lie group print that page

a differentiable manifold , with the property that the group operations are compatible with the smooth structure . Lie groups are named after Sophus Lie , who laid the foundations of the theory of continuous transformation groups . Lie groups represent the best-developed theory of continuous | 2011/7/16 7:05:43

Frictional contact mechanics print that page

Frictional contact mechanics is concerned with a large range of different scales. At the macroscopic scale, it is applied for the investigation of the motion of contacting bodies (see Contact dynamics ). For instance the bouncing of a rubber ball on a surface depends on the frictional interaction | 2011/5/25 9:45:48

Dynamical system print that page


External links [ edit ] Overview The concept of a dynamical system has its origins in Newtonian mechanics . There, as in other natural sciences and engineering disciplines, the evolution rule of dynamical systems is given implicitly by a relation that gives the state of the system only

Curvilinear coordinates print that page

In two dimensional Cartesian coordinates , we can represent a point in space by the coordinates ( x 1 , x 2 ) and in vector form as where are basis vectors . We can describe the same point in curvilinear coordinates in a similar manner, except that the coordinates are now ( ξ 1 ,ξ 2 ) and | 2011/9/12 1:49:36

Perturbation theory (quantum mechanics) print that page

In quantum mechanics , perturbation theory is a set of approximation schemes directly related to mathematical perturbation for describing a complicated quantum system in terms of a simpler one. The idea is to start with a simple system for which a mathematical solution is known, and add | 2011/10/4 20:01:01