--%>
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 : Difference between projectile motion

    Difference between projectile motion and rocket motion:A projectile has no motor or rocket on it, therefore all of its momentum is provided to it as it is launched. An illustration of a projectile would be pen which you throw across a room.

    		•
  • Q : Causes and consequences of dynamic

    Discuss the causes and consequences of dynamic loading on structures based on two real examples. Support your discussion with proper diagrams or sketches. Your discussion shall include the time and location of the event, type and source of dynamic loa

    		•
  • Q : Synchronous generator & Generating units

    Question 1: Three generating units operating in parallel at 60 Hz have rating of 300, 500, and 600    MW and have speed-droop characteristics of 5, 4, and 3%, respectively. Due to a change in load, a

    		•
  • Q : Servo drive What do you mean by Servo

    What do you mean by Servo drive and how mechatronic integration approach is improved by it.

    		•
  • Q : Energy in the home-personal energy

    Energy in the home personal energy use and home energy efficiency. Estimate your personal Annual Energy Usage for the following - list all data in kWh (KiloWatt hours):

    		•
  • Q : Deareator In Thermal Power Plant, Why

    In Thermal Power Plant, Why Deareator is placed at the Height?

    		•
  • Q : Hydrostatic System Explain the term

    Explain the term Hydrostatic System?

    		•
  • 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 : Product performance in Product design

    Product performance: Depending on the product, this may take many forms. Speed, loads to be withstood, number of work cycles, and intermittent or continuous working are some examples of considerations. 

    		•
  • Q : Undamped single degree of freedom (a)

    (a) The response for an undamped single degree of freedom system under free vibration is given as where ωn is the natural frequency and A and B are unknown that can be determined from the initial conditions. The response 

    		•