--%>
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 : Petroleum technology theories for the

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

    		•
  • Q : Safe turbine operation For safe turbine

    For safe turbine operation how many governors are generally required and Why?

    		•
  • Q : Mechanical Systems Reliability -

    Mechanical Systems Reliability, MP3701 Your assignment must be submitted electronically via eLe

    		•
  • Q : Bearing number ti Diameter of inner and

    Specify how the Bearing number ti Diameter of the inner and outer can be calculated?

    		•
  • 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 : Difference between PLC and Logic Card

    Difference between PLC and Logic Card: There is technically no difference. Both are logic controller utilized for several applications and in PLC has it's own internal memory (compared to Logic card).

  • Q : Aim of an airspeed indicator in aircraft

    What is the main aim of an airspeed indicator in aircraft?

    		•
  • Q : Problem on degree of freedom Draw a

    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

    		•
  • Q : Life expectancy in Product design

    Life expectancy: This part of the specification will state how long the product should remain in working order provided the customer gives reasonable care and maintenance. Also take into account technological advances and ongoing improvements that wou

    		•
  • Q : Free Vibration of MDOF Systems Why free

    Why free vibration takes place at MDOF system?

    		•