--%>
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 : Solution A pump station has been

    A pump station has been designed to lift water out of a 6 metre deep pit (vented to atmosphere) via a centrifigual pump mounted at ground level. Liquid conditions 20OC Suction pipe work losses 2.0 metres NPSH safety factor 5.0 kPa Vapor pressure @ 20oC 0.25 metres (a) Calculat

    		•
  • 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

    		•
  • Q : Formulating equation of motion Figure

    Figure below shows a reinforced concrete framed building subjected to earthquake ground motion. The floor is rigid with the mass of each floor is shown in the figure. Formulate the equation of motion for this building. Prove that the natural frequenci

    		•
  • Q : Technology and Engineering Explain

    Explain difference between the Technology and Engineering?

    		•
  • Q : Problem on steam turbine 1) A steam

    1) A steam turbine takes in saturated steam at 300oc and outputs steam at 4 bar. When the efficiency of the turbine is 65%, Evaluate: a.  The final composition (vapor vs. liquid) of outgoing steam.b.  The

    		•
  • Q : Problem on head loss The pump

    The pump illustrated in the figure adds 20 kW of power to the flowing water. The only vital loss is that which takes place across the filter at the inlet of the pump. Find out the head loss for this filter. Note that the gage pressure upstream of the filter is negativ

    		•
  • Q : Define spinning jenny Spinning jenny:

    Spinning jenny: It is a multi-spool spinning wheel. It was invented in the year 1764 by James Hargreaves in Stanhill, close to Blackburn, Lancashire in the north west of England (though Thomas Highs is another candidate recognized as inventor).

    		•
  • Q : Centrifugal Pump and Reciprocating Pump

    Out of Centrifugal Pump or the Reciprocating Pump, which pump is more efficient?

    		•
  • Q : Aerospace Computational Techniques -

    Hello, I have a programming assignment that incorporates aerodynamics. I was wondering if it is possible to program the following assignment. If not, what would be the aerodynamic formulas required to do so. Thanks.

    		•
  • Q : Arena simulation Are you able to modify

    Are you able to modify the attached [HW4-4-1sawModifiedInstructorTemplate] with the information below for this assignment? Modify the attached exercise by adding agent breaks. The 16 hours are divided into two 8-hour shifts. Agent

    		•