Convolution Integral : Viciously Damped Single-degree-of-freedom System

Related BrainMass Solutions

• Convolution Sum : Viciously Damped Single-degree-of-freedom System

  69441 Viciously Damped Single-Degree-of-Freedom System Derive the response of a viciously damped single-degree-of-freedom system of force Ft=F0e^-αt u(t) by means of a convolution integral.

• Control Systems, State Space Form and Convolution Integrals

  (22) The homogeneous system of ODE will have the solution:  (23) (always check if X1(0) = X0) b) We are going to compute now the convolution integral (Duhamel): where the integral is to be applied

• Convolution Applied to Inverse Transform Problem

  The main objective here is to find the inverse Laplace transform for h(s) using convolution. k and t are separate variables, not a single variable kt.

• Laplace Transform and the Driven Oscillator

  Sketch the motion if T is the period for free vibration of the system and: a = T/3 , a =( 3/2) T , a = T/10 3. As the convolution integral, consider t < a and t > a separately f(t) = 0 for t > a. The solutions are attached.

• Fourier transform and convolution

  576005 Fourier transform and convolution Please see the attach file, it take from "Optimization of electronic measurements module 4 text with experiments" by Howard V.Malmstadt The transform integral is (1.1) Note that the actual transform occurs

• solve differential equation using Laplace transform

  y(0) = 2; y'(0)=-3 Express the answer in terms of a convolution integral 2. Find the inverse of F(s) = 1/[(s^4)(s^2+1)] the answer can be left as a convolution integral 3. Solve y''''+5y''+4y=g(t) using laplace transforms....

• Inverse Laplace Transforms and Convolution Integral ( Theorem ) (4 Problems)

  64028 Inverse Laplace Transforms and Convolution Integral Find the inverse Laplace transform of the following: (a) 10/(s2+9) (b) 2e^-2s /(s+3) (c) ....

• Fourier Transforms and Convolution Theorem

  To calculate residue of there are 4 singular points but only two points lie in side half circles which are , Then residues R = S = Thus value of the integral is Then by convolution theorem solution is The expert examines

• Derive Source Solution by Performing Integral Tranforms on a Heat Equation.

  Since (20) shows a product of 2 Fourier images, the original function u(x,t) can be expressed as a convolution product, according to (13).