--%>
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 : 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 : What is pneumatic system Pneumatic

    Pneumatic system is a system which employs air to power something. For illustration, have you seen the tube systems at the bank drive-up tellers? Air is employed to push the tubes back and forth from the teller to customer.

    Q : Size and weight in Product design

    Size and weight: If the product is particularly small the cost may be increased if more precise manufacturing methods are demanded. Weight restriction will as well influence materials to be utilized: this in turn will influence the manufacturing proce

    		•
  • Q : Measuring the Temperature in Wet Bulb

    Explain phenomenon to measure the Temperature in Wet Bulb Thermometer?

    		•
  • Q : Efficient use of waste heat and

    Efficient use of waste heat and renewable heat sources 1. Describe how you might recover heat from (a) a process exhaust gas stream (e.g. from an oven) and (b) a process warm water stream (e.

    		•
  • 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 : Mechatronics Define the tem

    Define the tem Mechatronics and what are its elements?

    		•
  • 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 : Sources of energy what are different

    what are different alternate sources of energy

    		•
  • 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

    		•