any extra derivations you might have done on the single DOF system with no damping with a forcing function of F = f0sin(wt+phi)
any extra derivations you might have done on the single DOF system with no damping with...
71 Fct Determine the response of a single- DOF system without damping to the excitation shown in the figure for 3 a).tsto b) t2 to 大。
A single dof vibration system, modeled by a mass of 50 kg, damping coefficient of 300 Ns/m, and spring constant of 5000 N/m, is subjected to periodic displacement excitation u(t) as shown in the figure below. 1. Derive the equation of motion 2. Using Laplace transform, find characteristic equation. 3. Find the undamped and damped natural frequencies. 4. Find the damping ratio. 5. Find the transfer function of output x(t) to the periodic input u(t) using Laplace transform.
Vibrations (don’t have pic) There is a 1-DOF system that has mass 1 kg, spring stiffness 100 N/m. Q: Free vibration was done to the system and the magnitude of the vibration decreased by 10% per period. How much is the damping coefficient?
6 (10) Spring Problems: (a) Find the displacement, y(t), (in arbitrary units) as a function of time for the mass in a mass-spring system described by the differential equatiorn Zy" 10y' + 8y = 100 cos 3t + 4et assuming that the mass is released from rest at the equilibrium position. (This forcing function is not very realistic.) (b) Assume the equation from part (a) describes a mass-spring-dashpot system with a dashpot containing honey. Imagine that the honey is changed...
a-d please 6 (10) Spring Problems: (a) Find the displacement, y(t), (in arbitrary units) as a function of time for the mass in a mass-spring system described by the differential equatiorn Zy" 10y' + 8y = 100 cos 3t + 4et assuming that the mass is released from rest at the equilibrium position. (This forcing function is not very realistic.) (b) Assume the equation from part (a) describes a mass-spring-dashpot system with a dashpot containing honey. Imagine that the honey...
Model for Evaluation The model used for evaluation is the single degree of freedom lumped mass model defined by second order differential equation with constant coefficients. This model is shown in Figure 1. x(t)m m f(t) Figure 1 - Single Degree of Freedom Model The equation of motion describing this system can easily be shown to be md-x + cdx + kx = f(t) dt dt where m is the mass, c is the damping and k is the stiffness...
Problem 2 (20%) Free Vibration with Velocity Dependent Force. Consider a 1 DOF system consisting of a block with mass 2 kg hanging from a spring with stiffness 100 N/m. The block is fully immersed in the liquid and based on the properties of the liquid, you have determined experimentally that the drag force (damping force) on the block has a magnitude of 0.91*] where x is velocity and 0.9 has units (Ns/m). Assume positive displacement of the block is...
After you have done the research to complete the extra credit assignment, use that information to discuss and answer the following questions related to HIV/AIDS epidemic in sub-Saharan Africa. 1. Given the dramatic number of deaths occurring, what sorts of ecomonic impacts will this epidemic have on the region? 2. What can be done to slow the spread of HIV in these countries? 3. Should other countries be concerned with providing aid to Africa to fight the HIV epidemic?
help me with this. Im done with task 1 and on the way to do task 2. but I don't know how to do it. I attach 2 file function of rksys and ode45 ( the first is rksys and second is ode 45) . thank for your help Consider the spring-mass damper that can be used to model many dynamic systems -- ----- ------- m Applying Newton's Second Law to a free-body diagram of the mass m yields the...
For my upcoming test, these are examples of code we might have to write. Any help with these would be very beneficial including notes Code that you might need to write in C++ A function to print the first word in a string by finding the first space and printing the substring from 0 to just before the space