--%>
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 : Numerically controlled Mechatronics

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

    		•
  • 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 : Laws of Thermodynamics Describe all the

    Describe all the laws of the Thermodynamics?

    		•
  • 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 : Problem related to mass flow rate Water

    Water flows via a control volume as illustrated in the figure below. At Section (1) the diameter is 40 mm and the velocity profile is given by the V(r) = 10 (4 – r2) m/s, here r is the  distance from the centerline. At Section (2) the mass flow r

    		•
  • Q : Calculating liquid composition There

    There is a 35% MeOH/water mix to feed to a flash at 100 Ib- mole /hr and 1 atm. We want a vapour composition of 60 % MeOH. What does the vapour flow rate need to be? What is the liquid composition? Give the equation of the operation line?

    Q : Technology and Engineering Explain

    Explain difference between the Technology and Engineering?

    		•
  • Q : Radial bearings Explain the importance

    Explain the importance to remember about the radial bearings?

    		•
  • Q : Quantity in Product design specification

    Quantity: The total quantity of the product predicted and, more importantly, the production rates and batch sizes needed, should be specified. This will have implications for the types of manufacturing equipment and work organization necessary. It wil

    		•
  • 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.

    		•