--%>
Assignment Help - homework help

Formulating equation of motion

Figure below shows a reinforced concrete framed building subjected to earthquake ground motion. The floor is rigid with the mass of each floor is shown in the figure. Formulate the equation of motion for this building. Prove that the natural frequencies for modes 1, 2 and 3 are 5.977 rad/s, 16.33 rad/s and 22.307 rad/s, respectively, and solve the equation of motion in order to obtain the generalized mass, damping, stiffness and force. Use the stiffness of column, k = 200 kN/m and the damping coefficient, c = 10 kN.s/m. Given:

1946_equation1.jpg

1970_equation2.jpg

   Related Questions in Mechanical Engineering

  • Q : Brazing and Welding Differentiate the

    Differentiate the term Brazing and Welding?

    		•
  • Q : Welding rod 7018 State abbreviation of

    State abbreviation of the welding rod 7018?

    		•
  • Q : Dynamic model for the paper machine

    Explain and derive the Dynamic model for the paper machine headbox?

    		•
  • Q : Solar Thermal systems Explain the two

    Explain the two Solar thermal DHW and Solar DHW Solar thermal systems n brief?

    		•
  • Q : Problem on pressure rise of a water tank

    The water level in a tank is about 20 m above the ground. A hose is joined to the bottom of the tank, and the nozzle in the end of the hose is pointed to straight up. The tank is at sea level, and the water surface is open to the environment. In the line leading from

    		•
  • 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 : Conformance to standards in product

    Conformance to standards and specifications: These are standards laid down by national and international authorities. For instance, in Canada there is the Standards Council of Canada (SCC). The United States has many standards bodies including MIL (US

    		•
  • Q : Size and weight in Product design

    Size and weight: If the product is particularly small the cost may be increased if more precise manufacturing methods are demanded. Weight restriction will as well influence materials to be utilized: this in turn will influence the manufacturing proce

    		•
  • Q : Mode Superposition Method Define Mode

    Define Mode Superposition Method in brief?

    		•
  • Q : Maintenance in Product design

    Maintenance: How frequently and easily the product is to be maintained must be specified. A photocopier shouldn't require a service call from a technician just to add toner. If the product is to be maintenance free, then costs may be increased due to

    		•