Time-domain solution for the mass-spring system We will look at techniques for solving differential equations later. However, let us see what type of response we can expect for the mass-spring system. For example, assume that we have a mass-spring system as above with a mass of 2 kg and...
Solve the Mass-Spring-Damper Differential equation mx''+bx'+kx=exp(-t)cos(t) (Where x'' is d2x/dt2 etc, don't know how to do the dots above ) I understand how to solve this problem, but the thing that confuses me is that the right is in terms of "t" and left is in terms...
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Mass Spring System(弹簧系统)
Mass-spring-damper systemsFractional differential equationOrthogonal collocationPurpose In this contribution, the solution of Mass-Spring-Damper Systems in the fractional context by using Caputo derivative and Orthogonal Collocation Method is investigated. For this purpose, different case studies considering ...
The model consists of a nonlinear ordinary differential equation for the mass-spring-damper system and a differential inclusion for the granules rearrangement function. A numerical algorithm for the problem is presented and simulations of the system behavior depicted. In particular, the changes in the...
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In this article we analyze the model of spring-mass system with very large damping or very small mass as well as its numerical solution. In the first part of the work we derive the model with initial conditions and discuss the behavior of the exact solution. In the next part we analyze ...
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Functional Equations in Applied Sciences In Mathematics in Science and Engineering, 2005 7.2 A motivating example Consider the system in Figure 7.2 consisting of a mass m supported by two identical springs and a viscous damper or dashpot (see Richart et al. (1970)). The spring constants k/2...