PROBLEMS: An SDF system is excited by a sinusoidal force. At resonance the amplitude of displacement was measured to be 5 cm. At an exciting frequency of one-tenth the natural frequency of the system, the displacement amplitude was measured to be 0.5 cm. Estimate the damping ratio of the system.

Q: A telescope with tripod weighs 40 pounds and has geometry as shown in the figure and parameter…

A:

Q: Show that the expression for damping in terms of two frequencies wa and wp is given by the equation…

A: For damping -  Dtheoratical = 12Dexperimental⇒11 - β2 + 2βθ212 = 1212θ×11 - θ2⇒11 - β2 + 2βθ212 =…

Q: PROBLEM3: Assume that the mass and stiffness of the system of Fig3 are: m = 1000 kg, k = 1000 kN/m,…

A: m = 1000 Kg stiffness K= 1000 KN/m = 10197.16213 kgfat initial displacement V(0) =4 cmat time t=1.2…

Q: A platform of weight = 5000 lb is supported by four identical columns (E = 29000ksi, I = 69.2 in4)…

A: INTRODUCTION- A columns, in those other terms, is a compression members. The phrase "column" refers…

Q: The beam as shown is used in a building subjected to two different thermal environments. If the…

A: It is required to determine the vertical deflection of the beam at its midpoint using the relation.…

Q: Single choice question:  7. About the vibration period of the structure, which of the following is…

A: Vibration period is the time required to  complete one cycle.    frequency =1time period   ωn=12πkm…

Q: A cylindrical drum of lengthl and radius r can rotate inside a fixed concentric cylindrical casing,…

A: Given:- Length of cylindrical drum = l radius = r dynamic viscosity = μ angular velocity = ω

Q: 1) Find the transfer function from the force F (applied at x= L/3 the bar) to the motion Y of the…

A: Solution: Spring force is given by; →F=-kx          ⋯⋯⋯⋯⋯⋯(1)   -kx=ma         ⋯⋯⋯⋯⋯⋯(2)   ma+kx=0…

Q: A collimated beam of sodium light (λ = 589.3 nm) is incident normally on a Wollaston prism…

A:

FEA for Dynamic Problems

Finite element analysis or FEA is a computational tool that evaluates the approximate solution for a particular engineering problem. The tools provided by FEA help to evaluate the solutions of partial differential equations (PDEs) computationally following a numerical approach. Solutions of the PDEs can also be performed by following traditional algebraic approaches, but when the problem gets towards the complex side, it becomes very tedious and almost impossible to arrive at the solutions. In such cases, the FEA fulfills the purpose by evaluating the equations following multiple time steps and iterations. The more the time steps and iterations, the more accurate the solution. The solution plotted by FEA analysis and mathematical approaches varies asymptotically.