Comparison Of Calculation Methods Of Seismic Response Spectra Based On MATLAB

Seismic response spectrum is an important tool for the seismic analysis and designof structure, response spectra calculation plays an important role among responsespectrum methods and step-by-step time-integration methods, which has aroused theattention and further research of many scholars. These methods of pros and cons dependon the time-consuming, stability and accuracy factors. At present, there are a lot ofcalculation methods of the response spectrum, including central different menthod,Newmark-method, the linear acceleration method and the Wilson-law. although thesemethods has some drawbacks, their accuracy can still meet the general engineeringcalculation needs, and still get a very wide range of applications in engineering practice.Therefore, it is necessary for these methods to conduct in-depth comparison anddiscussion.At present, damping ratio was ordained in the seismic design of buildings.Concrete structures usually take0.05, and steel structures usually take0.02, as thedamping ratio is relatively small, so pseudo response spectrum is safe. However, withhigh-rise and super high-rise, the construction of a new, the new materials, isolation anddamping energy-consuming agencies, as well as new earthquake relief requirementsrepeatedly, the traditional theory more and more can not meet the new requirements,and pseudo response spectrum may bring errors that should arouse our attention.By response spectrum analysis: when the cycle is more than3s, the groundacceleration does not control the seismic response of structure, which is may be by thevelocity or displacement control. However, the super long-span, super high-rise andmega-structure the fundamental periods to reach over10s, and still use the acceleration response spectrum to analyze it should be inappropriate. So we should used a goodreaction to three cycles segment of response spectra to analyze the structure of thelong-period, while tripartitegraphs/four-way logarithmic graphs for response spectrumhas this characteristic. it is displacement, velocity and acceleration response spectrumplot in a four-way logarithmic graphs. Therefore, with MATLAB GUI programming forcombined Deformation, Pseudo-velocity, and Pseudo-acceleration response spectrumgraphical interface, and applied to engineering practice, which is a meaningful work.This paper based on this content, the main research contents are summarized asfollows:1. Research and application based on numerical algorithms, and using MATLABas a platform to establish the three-dimensional graphics of numerical algorithm indifferent influencing factors, and compared with the theoretical analysis. Throughnumerical example analysis verification, that the different numerical algorithmsperformance of in the actual calculation, and select what kind of algorithms is moreappropriate algorithm to provide reference points in the actual calculations.2. Analysis verify the stability boundaries of another type of incremental formatWilson-method and the traditions Wilson-method under MATLAB, what value θ inorder to ensure the algorithm is unconditionally stable. Simultaneous analysis of thestability of another type of whole quantity form Wilson-method.3. Compared analysis of seismic response spectrum and pseudo response spectrumbased on MATLAB. Combined an example further comparative analysis of differentvibration period and damping ratio under the influence of the changes the two kinds ofresponse spectra.4. Tripartite graphs/four-way logarithmic graphs for response spectrum ofcomputing applications design based on MATLAB GUI-platform, which has made abetter human-computer interaction.