--%>
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 : Unilateral and Bilateral Tolerance

    Explain difference between the Unilateral and Bilateral Tolerance?

    		•
  • Q : Problem on magnitude of force A

    A horizontal pipe of dimension 540 mm diameter carrying 0.6 m3/s splits into two horizontal pipes of 300 mm diameter with 60% of the flow and another of 150 mm diameter with 40% of the flow. Find out the magnitude and direction of the force

  • Q : Mechatronics Define the tem

    Define the tem Mechatronics and what are its elements?

    		•
  • Q : State Concurrent Engineering Concurrent

    Concurrent Engineering has happened primarily as a result of the need to shorten product development times, but improving product quality and reducing product life-cycle costs are important considerations. Some companies have even gone to the extent o

    		•
  • 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 : Modal Combination Rules What are the

    What are the Modal Combination Rules in order to determine the peak value of the total response?

    		•
  • Q : Dynamic model for the paper machine

    Explain and derive the Dynamic model for the paper machine headbox?

    		•
  • Q : What is Cotter joint Cotter joint :

    Cotter joint: These kinds of joints are employed to connect two rods that are under compressive or tensile stress. The ends of rods are in the way of a socket and shaft which fit altogether and the cotter is driven into a slot which is common to both

    		•
  • Q : Medium-sized turbine How pressure of

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

    		•
  • Q : Efficient design What is meant by ‘

    What is meant by ‘efficient design’? Explain.

    		•