--%>
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 : ANSYS - Finite Element Analysis Hello,

    Hello, is the following project possible.

    		•
  • Q : Mechanical design for manufacturing A

    A stone quarry in a remote part of the world requires that stone blocks of 3 cubic feet in volume be moved up a 50 ft long ramp which is inclined at 30 degrees. Since the location is remote, the blocks must be moved usng human power. On a continuous basis, human power

    		•
  • Q : Decrease in entropy with termperature

    Explain that Entropy decreases along with the increase in its temperature?

    		•
  • Q : Problem on damping coefficient Vertical

    Vertical suspension system of a car can be modeled as single degree of the freedom system. Consider that the car with mass m consists of four shock absorbers with equal stiffness and damping of k and c, corresspondingly: (a) Due to

    		•
  • Q : Formation of Cavitation Explain the

    Explain the reason behind formation of the Cavitation in the Centrifugal Pump and not in the Displacement Pump?

    		•
  • Q : Petroleum technology theories for the

    theories for the origin of petroleum, methods for detection of petroleum deposits, fractional distillation

    		•
  • 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 : What is critical speed What is critical

    What is critical speed?

    		•
  • Q : Lubricating oil in turbines Except the

    Except the lubrication, explain the other two functions of the lubricating oil in some of the turbines?

    		•
  • Q : Product appearance in Product design

    Product appearance: Strongly influenced by the Industrial Designer, the general style? of the product is significant as this will have an influence on materials and manufacturing procedures to be used. The product should be able to grab the customer's

    		•