--%>
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 : Positive Displacement Type of Pump

    Explain why the Centrifugal Pump is not known as the Positive Displacement Type of Pump?

    		•
  • Q : Safety in Product design specification

    Safety: The specifications should state the possible abuse and misuse the product might be subjected to. Warning labels and instructions on safe operation of the product should be given. The designer can be held accountable for any accidents that migh

    		•
  • Q : Working environment in Product design

    Working environment: The conditions under which the product is likely to be used, stored, and transported must be specified. The product may have to operate in conditions of extreme temperature, be subject to vibration, radiation; these conditions wil

    		•
  • Q : Numerically controlled Mechatronics

    What do you mean by Numerically controlled Mechatronics and what are its components?

    		•
  • Q : Problem on discharge of water In the

    In the below system, d = 6 in., D = 12 in., Δz1 = 6 ft, and Δz2 = 12 ft. The discharge of water in the given system is 10 cfs. Is the machine a turbine or a pump ? Determine the pressures at points A and B? Neglect head losses. Suppos

    		•
  • Q : Unilateral and Bilateral Tolerance

    Explain difference between the Unilateral and Bilateral Tolerance?

    		•
  • Q : Describe Process Flow Diagram Process

    Process Flow Diagram: A Process Flow Diagram or System Flow Diagram exhibits the relationships among the main components in the system. It too has fundamental information regarding the material balance for the process.

    		•
  • Q : Hard links Explain the term hard links?

    Explain the term hard links?

    		•
  • Q : Arena Are you able to assist with these

    Are you able to assist with these two assignments in Arena simulation below? You can use the Basic Process instead of Blocks and Elements. An office of state license bureau has two types of arrivals. Individuals interested in purchasing new plates are characterized to have inter-arrival times dis

    		•