--%>

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 : Calculate the surface area available

    You are working in a company that has developed a process to produce DNA vaccines from E.coli. After the fermentation step a lysis step is used to release the DNA from the cells resulting in a sticky mixture. You find that an aggressive cleaning solution heated to 80°C is required to

  • Q : Advantages and disadvantages of using

    Explain advantages and disadvantages of using the LPG in Car?

  • 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 : 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 : Free Vibration of MDOF Systems Why free

    Why free vibration takes place at MDOF system?

  • 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 : Problem on basic process of Arena

    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 chara

  • Q : MECHANICAL ENGINEERING DESIGN KINDLY

    KINDLY SEND ME MATERIAL ON "MULTISTAGE SPUR GEAR DESIGN OPTIMISATION USING RAY DIAGRAMS"

  • 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 : Convection Heat Transfer Please Solve

    Please Solve this problem Step by step, and the question is in the images.