Home | ENGINEERING | Velestos and Newmark spectra

Civil - Structural dynamics of earthquake engineering

Velestos and Newmark spectra

   Author :  S. Rajasekaran    Posted On :  28.08.2016 12:17 am

Each of the deformation pseudo-velocity and pseudo-acceleration response spectra for given ground motion contains the same information, no more no less.

Combined deformation, velocity and acceleration (DVA) spectrum

 

Each of the deformation pseudo-velocity and pseudo-acceleration response spectra for given ground motion contains the same information, no more no less. The three different spectra are simply different ways of presenting the same information on the structural response. Knowing one of the spectra, the other two can be obtained by algebraic operation.

 

Then why do we need three spectra? Each one gives different physical meanings. The deformation spectrum directly provides peak deformation of the system. The pseudo-velocity spectrum gives peak strain energy stored in the system. The pseudo-acceleration spectrum is related directly to the peak value of the equivalent static force and base shear. For this purpose a combined plot showing all three of the spectral quantities is especially useful. This type of plot was developed by A S Velestos and N M Newmark in 1960 for earthquake response.

 

Velestos and Newmark spectra

 

The relationship between pseudo-spectral acceleration, pseudo-spectral velocity and spectral displacement may be written as (shown in Fig. 17.14)


The curve between log Spv and log Tn is a straight line with +45° slope for which Spa is constant. Hence the slope of log Spa is –45°.


 

Hence log Spv vs. log Tn line is a straight line with – ve slope of 45°. Hence Sd line is constant at an angle of +45°.

 

Once the graph paper has been constructed, the three responses of deformation, pseudo-velocity and pseudo-acceleration of Fig. 17.15 can readily be combined into one plot. For example V = 596.9 mm/s for Tn = 2 s is plotted and the corresponding Sd = 189.7 mm and Spa = 0.191g is read from the graph. The four-way plot is a complete presentation of deformation, pseudo-velocity and pseudo-acceleration plots.

 

A response spectrum should cover a wide range of natural periods and several damping values so that it provides a peak response for all possible structures. The period range should be extended because tall buildings and long bridges may have longer vibration periods and several damping ratios will need to be included from 0 to 20% over a period range of 0.2 to 50 s. The response spectrum has proved to be very useful in earthquake engineering for all ground motions.


Tags : Civil - Structural dynamics of earthquake engineering
Last 30 days 35 views
Related words :

What is Velestos and Newmark spectra Define Velestos and Newmark spectra Definition of Velestos and Newmark spectra where how meaning of Velestos and Newmark spectra lecturing notes for Velestos and Newmark spectra lecture notes question and answer for Velestos and Newmark spectra answer Velestos and Newmark spectra study material Velestos and Newmark spectra assignment Velestos and Newmark spectra reference description of Velestos and Newmark spectra explanation of Velestos and Newmark spectra brief detail of Velestos and Newmark spectra easy explanation solution Velestos and Newmark spectra wiki Velestos and Newmark spectra wikipedia how why is who were when is when did where did Velestos and Newmark spectra list of Velestos and Newmark spectra school assignment college assignment Velestos and Newmark spectra college notes school notes kids with diagram or figure or image difference between Velestos and Newmark spectra www.readorrefer.in - Read Or Refer

​TOP MENU

OTHER SUGEST TOPIC

Recent New Topics :