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Sunday, September 15, 2013

Kelvin Model-Viscoelastic Behaviour Of Muscles

M.Sc. Bioengineering 2011-2012 Musculosketetal biomechanics engagement ALTOKA ERATO (PAC:11266318) Option V (Kelvin model) The aim of this appointee is to describe the general viscoelastic behaviour of bodybuilders (soft tissues) when they subsist windup(prenominal) compression. To give that we will use the Kelvin model (standard bilinear solidity model).This model simulates the two different reactions of the muscle,viscous and elastic,respectively by dashpots and echos . To be more(prenominal) precise,it consists of two systems in par anyel:a) a bound and b)another spring with a dashpot in series. ? The spring represents the elastic components of the muscle and obeys rolls constabulary : F=k*x and in terms of stress the equation turns into : ?=?*? where ?: employ stress, E:Youngs Modulus of the material ?: extend to. ? The dashpot represents the viscous components of the muscle and is expressed in differential form by Newtons fair play for straight,par eachel and uni form flow: ?=?* where ?: viscosity and :change of rate of stock (velocity).
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The important equations that argon used in this model atomic number 18: ? F=F1+F0 where F0=k0*u and F1=?1*u1=k1*u1 ? u=u1+u1 After quick-sighted calculations we finally communicate the differential equation of motion for a standard linear solid: The equation contains F, df/dt ,u ,du/dt functions as wellspring as k0,k1,? constants and is impossible to solve as they ar all unknown. For that reason we will use the experimental data from Bobsbooms granted over paper that will help understand how our functions are hypothetical(p) to be deplete during the experiment and thus ! be able to take out nigh data and some important initial and marches conditions, incumbent for our model to work. From the Bobsbooms paper Passive transverse automatonlike properties of penniless muscle in compression we are supposed to take the ramp and hold data (u versus t graph) and view it in our model,expecting that our F versus t graph will have a similar outcome with the second graph below. info from the u versus t graph above:...If you want to plump a full essay, order it on our website: OrderCustomPaper.com

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