Earthquake ground motion and response spectra springerlink. Constant ductility response spectrum for elcentro earthquake california, may 18, 1940, ns component chopra 2012. Matlab tutorial provided for hwk causes of earthquakes historical earthquakes seismicity. That code gave the complete procedure to make response spectra design with easy manner. Computer programs for calculating and optimization linear 1d. Response spectra file exchange matlab central mathworks. Factors that influence earthquake ground motion such as source distance, site geology, earthquake magnitude, source characteristics, and directivity are examined. Nonlinear and equivalent linear seismic site response of. Other topics such as earthquake ground motion, response spectra and earthquake analysis of linear systems are discussed.
Structural dynamics of linear elastic singledegreeoffreedom sdof systems. Finally, the course also covers the soil structure interaction and inelastic response spectra. These methods range from stochastic simulation boore, 2003 of. In performancebased seismic design, realistic and reliable design response spectra are required to reliably and accurately predict responses of designing structures.
Ce 767 earthquake engineering spring 2018 instructor. Principles of earthquake engineering of bridges part 1 aashto design requirements zground motion minimum 0. Gupta group leader, civil engineering group birla institute of technology and science pilani, rajasthan333031. A new computerbased platform has been proposed whose novelty consists in modeling the local site effects of the ground motion propagation using a hybrid approach based on an equivalent linear model. The earthquake ground motion and response spectra design for.
This online engineering pdh course presents the response spectrum method of earthquake response analysis of simple structures and mechanicalelectrical equipment. This study addresses the influence of the shape of the ground motion spectra and the ground motion duration on the structural collapse capacity, as determined by nonlinear response history analysis. Sep 16, 2011 the response spectrum of an earthquake is the most favored seismic input for earthquake engineers. If the equipment is located at a higher floor of a building, then the response spectra for the earthquake motion at that floor are used in the analysis. Structural dynamics of linear elastic singledegreeof. Constant ductility inelastic response spectra, 9 fourier amplitude spectrum, 10 mean period tm. Example of the selecting from list for drawing several response spectra. The first data reported from an earthquake record is generally the peak ground acceleration pga which expresses the tip of the maximum spike of the acceleration ground motion figure 1. Response spectra are very useful tools of earthquake engineering for analyzing the performance of structures and equipment in earthquakes, since many behave principally as simple oscillators also. For example if we use definition of trifunac duration td is the time.
The acceleration response spectra are the most commonly used for structural design and, for this reason, will be used in this work. Response spectrum analysis does not provide realistic seismic. Pdf this report is the development of response spectrum analysis for mdof structure in matlab. The acceleration response spectra are then defined as the maximum structural response for the given accelerogram and for each period s a p max u. Sep 10, 20 the response spectrum method of analysis is developed using the following steps. The chapter presents probabilistic methods for evaluating seismic risk at a site and development of seismic maps used in codes and provisions. Seismic response spectrum gui file exchange matlab central. Ceen 545 lecture 12 design ground motions from seismic building code part i duration. The respective plots are called pseudovelocity and pseudoacceleration response spectra. This video explains the introduction to response spectrum analysis, damping effect, response spectrum generation, different response spectrum types, methods of response spectrum, missing mass.
Therefore, it enables the user to calculate the peak ground acceleration pga and pseudo velocity. Jennings abstract a numerical method for computing response spectra from strongmotion earthquake records is developed, based on. The response spectrum of an earthquake is the most favored seismic input for earthquake engineers. A computerbased environment for processing and selection of. A displacement response spectrum is the plot of maximum. It offers a simplified method for finding the design forces for structural members for. Eurocode 8 compliant record sets for seismic analysis of structures 55 simulation records 2 are ob tained via modeling of the seismological source and may account for path and site effects. So, the hysteretic behavior of the soil is described using the shear. Deepsoil is a onedimensional site response analysis program that can perform. Pdf estimation of response spectra and simulation of. Software to download usgs earthquake hazard program. The shock response spectrum is a useful tool for estimating the damage potential of a shock pulse, as well as for test level specification. The codal provisions for earthquake resistant design of structures as per indian standards are explained. Sep 28, 2015 a new computerbased platform has been proposed whose novelty consists in modeling the local site effects of the ground motion propagation using a hybrid approach based on an equivalent linear model.
I have data from several accelerometers on a missile. Elastic response spectrum file exchange matlab central. Such spectra are called instructure response spectra or floor response spectra. The conditional spectrum is proposed as a more realistic characterization of spectral shape, compared to the commonly used. Study of earthquake response spectra submitted in partial fulfillment of the requirements of bits c421t. Response spectrum method is favoured by earthquake engineering community because of. Linear elastic response spectra this slide lists the scope of the present topic. Linear sdof system newmarks response spectra calculation. Project seizmo is a matlab and gnu octave based toolbox encompassing a collection of over 700 functions that provide a framework for seismic data preparation, quality control, and analysis akin to that of seismic analysis code with a focus on passive source seismology at regional and global scales where earthquakes and ambient noise are the. T o solve this problem, earthquake response spectrum analysis is the most wellknown tool in the seismic analysis of the str uctures.
A computerbased environment for processing and selection. First column is time and second column is acceleration in g. This function generates elastic response specra including displacement spectrum, pseudo acceleration spectrum, and pseudo velocity spectrum which are needed in a response spectrum analysis of structures. The concept of response spectrum analysis procedure to determine structure response and design earthquake forces is explained. The accelerograph records three orthogonal components of ground acceleration. Inelastic design spectra earthquake response of linear buildings mdof earthquake response of inelastic buildings mdof. Mar 24, 2015 tutorial of a practical tool program that gives the reader a simple to follow stepbystep guide, to understand and build a response spectra of a linear sdof system subject to any earthquake record. Earthquake analysis and design of simple structures and. It also plots the solution and stores them in a file allowing certain changes such as the acceleration unit. Similarly, several definitions for the shock response spectrum are. The book also touches on earthquake ground motion, response spectra, and earthquake analysis of linear systems are discussed. An artificial accelerogram generator code written in matlab. We are interested in the maximum relative displacement, velocity, and total accelerations.
Elastic response spectrum for elcentro earthquake california, may 18, 1940, ns component. Example of actual response spectra of an earthquake with 5% dumping ratio. Earthquake acceleration time history and response spectra design are needed as basis to determine the earthquake loading that can be used to design and assess the tall building and other structures. Matlab tutorial, from udemy matlab basics and a little beyond, david eyre, university of utah matlab primer, 3rd edition, by kermit sigmond, university of florida matlab tutorial, a. It provides a technique for performing an equivalent static lateral load analysis. Proficiency in earthquake engineering requires a thorough understanding of each of these topics. A code is written in matlab to plot the response spectra for a given seismic input data.
Response spectrum method of analysis with simplified. Nonlinear and equivalent linear seismic site response of one. Proficiency in earthquake engineering requires a thorough understanding of. Earthquake response of linear systems response spectrum elastic design spectrum earthquake response of inelastic sdof systems energy dissipation constantductility response spectra inelastic design spectra applications of design spectra experiments in eq engineering lab intro incremental dynamic analysis ida equivalent lateral force procedure. If you try, as the example shows, to put g9810 mmss sd has different values. An artificial accelerogram generator code written in matlab ferreira. Introduction the most direct description of an earthquake motion in time domain is provided by accelerograms that are recorded by instruments called strong motion accelerographs. This was then further developed into a design response spectrum for use in structural design, and this basic form. This then is followed by a study of the characteristics of the earthquake response spectra which generally lead into the design spectrum for the design of new buildings and safety evaluation of existing buildings against future earthquakes, because the earthquakes can damage buildings. Superpositon of response spectra the above derivation is for a singledegreeoffreedom system, which is not the case for a complex system. Introduction the response spectrum model stipulated in the current australian earthquake loading standard as 1170.
As target spectra for the earthquake signals, we used spectra suggested by the united states nuclear regulatory commission for designing nuclear power plants. Record selection for nonlinear seismic analysis of structures. I need to determine the shock response spectra and cant find an adequate function in the matlab library. The soil behavior is modeled assuming that both the shear modulus and the damping ratio vary with the shear strain amplitude. Response spectra is produced firstly according to the earthquake wave records, and the maximum. Figures and response spectrum method rsm based on the static analysis method, the response spectrum method made improvement over it, transformed the dynamic problem into the static problem by applying the mode superposition theory. Code responsespectra a code is written in matlab to plot the response spectra for a given seismic input data. The simulated time histories fit the recorded accelerograms in terms of several groundmotion amplitude measures, such as peak acceleration, peak velocity, fourier spectra, and response spectra.
This record is also attached to the submitted files. In the present code elcentro earthquake data for one minute is taken and its various response spectra are plotted. Eurocode 8 compliant real record sets for seismic analysis. Superpositon of response spectra the above derivation is for a singledegreeoffreedom system, which is not the case for a complex system such as building response during an earthquake. Jennings abstract a numerical method for computing response spectra from strongmotion earthquake records is developed, based on the exact solution to the governing differential equation. User manual for the earthquake loss estimation tool. Earthquake response spectra with coded design examples.
It allows a clear understanding of the contributions of different modes of vibration. Using the acceleration response spectrum, an equivalent static load is derived which will provide the same maximum response as that obtained in each. Earthquakes the strong motion records of which have been. The acceleration time history and response spectra design for certain site can be acquired using the seismic hazard analysis, amplification of ground motion quantity, and spectral matching in time. Structural dynamics of earthquake engineering 1st edition. Note that milstd1540c and milstd810e require this format for certain shock environments. Tutorial of a practical tool program that gives the reader a simple to follow stepbystep guide, to understand and build a response spectra of a linear sdof system subject to any earthquake record. Response spectra are very useful tools of earthquake engineering for analyzing the performance of structures and equipment in earthquakes, since many behave principally as simple oscillators also known as single degree of freedom systems. The earthquake ground motion and response spectra design. This script aims to offer the shock response spectrum of an acceleration time history of an earthquake which is known.
A new opensource software for strong ground motion data processing. The user can change the input parameters to construct a sitespecific response spectrum considering different hazard conditions. If the ground acceleration from an earthquake is known, the response of the structure can be computed via using the newmarks method. Openseismomatlab file exchange matlab central mathworks. This function generates elastic response spectrum for seismic design of buildings. The method presented in this course is widely used and is applicable to any structure or equipment that can be modeled as a singledegreeoffreedom sdof system. Earthquake design spectra given a earthquake ground acceleration, there is no difficulty to compute response using newmarks method as the previous example. Sep 12, 2017 response spectra are very useful tools of earthquake engineering for analyzing the performance of structures and equipment in earthquakes, since many behave principally as simple oscillators also. Thus, if you can find out the natural frequency of the structure, then the peak response of the building can be estimated by. Structural dynamics of earthquake engineering uses mathematica to help civil and structural engineers and students with an understanding of the dynamic response of structures to earthquakes and the common analysis. Predicting response spectra for earthquake signals. Following lessons from previous earthquake disasters, the performancebased seismic design is increasingly accepted by engineers to prevent seismic disasters.
To solve the equation of motions for different periods, the newmark linear method was used. In the 1982 eeri monograph on earthquake design and spectra, newmark and hall describe how they developed an idealized seismic response spectrum based on a range of response spectra generated for available earthquake records. A separate topic also addresses inelastic behavior of structures. Openseismomatlab can calculate the following strong motion data. The two authors have carried out calculation to find response spectra design use seismic code of ubc 1997. Therefore, we can generate a response spectrum for that earthquake. We have examined the data for peak horizontal acceleration, velocity, and response spectra and do not find support for a magnitudedependent shape refs. But little information on this effect is available from earthquake engineers to pass on to the seismologist responsible for the selection. Response spectra of elcentro earthquake it is desired to obtain the elastic response spectra of ns component of 1940 elcentro earthquake fig. The shock response spectrum is a graphical representation of an arbitrary transient acceleration input, such as shock in terms of how a single degree of freedom sdof system like a mass on a spring responds to that input. A displacement response spectrum is the plot of maximum displacement of a single degree of freedom system sdof to a particular ground motion as a function of the natural frequency and damping ratio of the sdof.
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