--%>
Assignment Help - homework help

Problem on degree of freedom

Draw a frequency-response curves for a damped single degree of freedom system subjected to a harmonic excitation under three different damping ratios. System has a natural frequency of ωn as the forcing frequency of the excitation is ω. Describe the relation of static and dynamic deformation responses for:
 
(i) ω/ωn << 1
(ii) ω/ωn >> 1
(iii) ω/ωn = 1

Also define whether the dynamic response is controlled by the mass, or stiffness or damping of the system for each and every case.

(b) The single degree of freedom building system is excited by a sinusoidal force as shown in figure below. Assume that the girder is rigid whereas the columns are flexible to the lateral deformation but rigid in the vertical direction. Use E = 30 GPa, I = 60 x 106 mm4 and 5 % damping and neglect the mass of columns. Find out
 
(i)  the steady state amplitude of vibration,
(ii)  the maximum shear force in the column,
(iii)  the maximum bending moment.

973_degree of freedom.jpg

   Related Questions in Mechanical Engineering

  • Q : Arena Are you able to assist with these

    Are you able to assist with these two assignments in Arena simulation below? You can use the Basic Process instead of Blocks and Elements. An office of state license bureau has two types of arrivals. Individuals interested in purchasing new plates are characterized to have inter-arrival times dis

    		•
  • Q : Cavitation elimination by Pump How

    How Cavitation is eliminated by the Pump?

    		•
  • Q : Define Product Design Specification

    Product Design Specification: Once the basic idea for a product has been made, the next step is to create a product design specification, or PDS. This document must be as comprehensive and as detailed as possible as it forms the basis of all the work

    		•
  • Q : Unilateral and Bilateral Tolerance

    Explain difference between the Unilateral and Bilateral Tolerance?

    		•
  • Q : Medium-sized turbine How pressure of

    How pressure of oil is managed when starting or stopping the medium-sized turbine?

    		•
  • Q : Quantity in Product design specification

    Quantity: The total quantity of the product predicted and, more importantly, the production rates and batch sizes needed, should be specified. This will have implications for the types of manufacturing equipment and work organization necessary. It wil

    		•
  • Q : Problem related to pressure gauge Water

    Water flowing via the vertical pipe is illustrated below. Compute the required pipe diameter for the smaller pipe,‘d’,  given that the two pressure gauges read similar value.

    Q : Problem on displacement response time

    (i) Formulate the equation of motion for the system shown in Figure below. List two assumptions made in this formulation. (ii) Find the response of this system at t = 3s. The system begins with the displacement of 5 cm and velocity

    		•
  • Q : Define feasibility study Feasibility

    Feasibility study: In order to take wise investments in a market-place experiencing rising stages of risk, companies are turning to feasibility studies to find out if they must propose new products, services or commence a new business endeavor. The ma

    		•
  • Q : High Discharge pump Why Centrifugal

    Why Centrifugal Pump is known as the High Discharge pump?

    		•