OpenSeismoMatlab: New Features, Verification and Charting Future Endeavors
Abstract
:1. Introduction
- Elaborate on the new capabilities of OpenSeismoMatlab, including a comprehensive presentation of input/output variables for its various routines and, when necessary, flowcharts depicting the calculation process (Section 2 of this study).
- Demonstrate OpenSeismoMatlab’s capacity to yield highly accurate and reliable results. To achieve this, we replicated several cases from existing literature using OpenSeismoMatlab and compared the outcomes with those obtained through alternative methods (Section 3 of this study).
- Offer insights into prospective avenues for further research in two dimensions: (i) the refinement of OpenSeismoMatlab itself, and (ii) the advancement of seismic building design methodologies, leveraging OpenSeismoMatlab as a foundational tool (Section 4 of this study).
2. Structure and New Functionalities of OpenSeismoMatlab
2.1. High-Pass and Low-Pass Butterworth Filter
2.2. Constant Ductility and Constant Strength Response Spectra (CDRS and CSRS)
2.3. Effective Peak Ground Acceleration (EPGA)
2.4. Incremental Dynamic Analysis of SDOF System
- ‘SA_MU’: Spectral acceleration–displacement ductility
- ‘PGD_MU’: Peak displacement–displacement ductility
- ‘PGV_MU’: Peak velocity–displacement ductility
- ‘PGA_MU’: Peak acceleration–displacement ductility
- ‘SA_DISP’: Spectral acceleration–displacement
- ‘PGD_DISP’: Peak displacement–displacement
- ‘PGV_DISP’: Peak velocity–displacement
- ‘PGA_DISP’: Peak acceleration–displacement
- ‘SA_VEL’: Spectral acceleration–velocity
- ‘PGD_VEL’: Peak displacement–velocity
- ‘PGV_VEL’: Peak velocity–velocity
- ‘PGA_VEL’: Peak acceleration–velocity
- ‘SA_ACC’: Spectral acceleration–acceleration
- ‘PGD_ACC’: Peak displacement–acceleration
- ‘PGV_ACC’: Peak velocity–acceleration
- ‘PGA_ACC’: Peak acceleration–acceleration
2.5. Pulse Decomposition
- Near-fault pulse-like records tend to induce increased displacement responses, thereby elevating the potential for structural and/or nonstructural damage in both elastic and inelastic structures compared to non-pulse-like motions. Additionally, they tend to produce higher spectral accelerations at longer periods.
- The structural response is significantly influenced by the ratio of the pulse period in the ground motion velocity time history (Tp) to the first-mode period of the building (T1). When Tp is approximately equal to T1, elastic structures experience the highest response. In the case of ductile structures, it is presumed that the building’s effective fundamental period elongates as damage accumulates. It has been proposed that Tp being approximately twice T1 may be the most detrimental scenario for structures operating within the nonlinear range. For instances where Tp < T1, such as in tall buildings, the pulse may excite higher modes, leading to substantial displacement and shear force demands in the upper stories.
2.6. Resampling
2.7. Rigid-Plastic Sliding Response Spectrum
3. Verification of OpenSeismoMatlab Output
3.1. High-Pass and Low-Pass Butterworth Filter of OpenSeismoMatlab
3.2. Constant Ductility Response Spectra of OpenSeismoMatlab (CDRS)
3.3. Constant Strength Response Spectra of OpenSeismoMatlab (CSRS)
3.4. Incremental Dynamic Analysis of OpenSeismoMatlab (IDA)
3.5. Pulse Decomposition of OpenSeismoMatlab
3.6. Rigid-Plastic Sliding Response Spectrum of OpenSeismoMatlab
4. Discussion and Future Work
- OpenSeismoMatlab exclusively employs the bilinear kinematic model for conducting nonlinear analyses, encompassing a range of nonlinear spectra, including constant ductility, constant strength, and rigid-plastic sliding spectra.
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Syntax | Task |
---|---|
PARAM = OpenSeismoMatlab(DT,XGTT,SW,__) | General syntax with default input (switch is needed) |
PARAM = OpenSeismoMatlab(DT,XGTT,‘ARIAS’) | Arias intensity, cumulative energy, significant duration [1] |
PARAM = OpenSeismoMatlab(DT,XGTT,… ‘BUTTERWORTHHIGH’,BORDER,FLC) | High-pass Butterworth filter |
PARAM = OpenSeismoMatlab(DT,XGTT,… ‘BUTTERWORTHLOW’,BORDER,FHC) | Low-pass Butterworth filter |
PARAM = OpenSeismoMatlab(DT,XGTT,‘CDRS’,T,KSI,MU,PYSF,DTTOL,ALGID,RINF,MAXTOL,JMAX,DAK) | Constant ductility response spectrum [1] |
PARAM = OpenSeismoMatlab(DT,XGTT,‘CSRS’,T,KSI,FYR,PYSF,DTTOL,ALGID,RINF,MAXTOL,JMAX,DAK) | Constant strength response spectrum |
PARAM = OpenSeismoMatlab(DT,XGTT,‘ELRS’,T,KSI,ALGID,RINF,DTTOL) | Linear elastic response spectrum [1] |
PARAM = OpenSeismoMatlab(DT,XGTT,‘EPGA’) | Effective peak ground acceleration |
PARAM = OpenSeismoMatlab(DT,XGTT,‘FAS’) | Fourier amplitude spectrum [1] |
PARAM = OpenSeismoMatlab(DT,XGTT,‘IDA’,T,… LAMBDAF,IM_DM,M,UY,PYSF,KSI,ALGID,U0,UT0,… RINF,MAXTOL,JMAX,DAK) | Incremental dynamic analysis of SDOF system |
PARAM = OpenSeismoMatlab(DT,XGTT,‘PGA’) | Peak ground acceleration [1] |
PARAM = OpenSeismoMatlab(DT,XGTT,‘PGD’) | Peak ground displacement [1] |
PARAM = OpenSeismoMatlab(DT,XGTT,‘PGV’) | Peak ground velocity [1] |
PARAM = OpenSeismoMatlab(DT,XGT,‘PULSEDECOMP’,WNAME,TPMIN,TPMAX,NSCALES) | Pulse decomposition |
PARAM = OpenSeismoMatlab(DT,XGTT, ‘SINCRESAMPLE’,DTI) | Resampling (change time step size) |
PARAM = OpenSeismoMatlab(DT,XGTT,‘RPSRS’,CF,… ALGID,RINF,MAXTOL,JMAX,DAK) | Rigid-plastic sliding response spectrum |
PARAM = OpenSeismoMatlab(DT,XGTT,‘SIH1952’) | Spectral intensity [4] |
PARAM = OpenSeismoMatlab(DT,XGTT,‘SINH1984’) | Spectral intensity [5] |
PARAM = OpenSeismoMatlab(DT,XGTT,‘TIMEHIST’,… BASELINESW) | Velocity and displacement time histories with baseline correction or not [1] |
Notation | Default | Description |
---|---|---|
Input | ||
DT | (-) s | Time step of the input acceleration time history XGTT |
XGTT | (-) m/s2 | Input acceleration time history |
BORDER | 4 | Order of Butterworth filter |
FLC | 0.1 Hz | Low cutoff frequency (for ‘BUTTERWORTHHIGH’) |
FHC | 10 Hz | High cutoff frequency (for ‘BUTTERWORTHLOW’) |
Output | ||
ACC | - | Filtered acceleration |
Notation | Default | Description |
---|---|---|
Input | ||
DT | (-) s | Time step of the input acceleration time history XGTT |
XGTT | (-) m/s2 | Input acceleration time history |
T | [0.02, 50] s | Eigenperiods for which the response spectra are requested |
KSI | 0.05 | Fraction of critical viscous damping |
MU | 2 | Target ductility |
N | 100 | Maximum number of convergence iterations |
PYSF | 0.01 | Post-yield stiffness factor (ratio of post-yield stiffness to small strain stiffness) |
DTTOL | 0.01 | Tolerance for resampling of XGTT |
Output | ||
PSA | - | Pseudoacceleration |
PSV | - | Pseudovelocity |
SD | - | Spectral displacement |
SV | - | Spectral velocity |
SA | - | Spectral acceleration |
FYK | - | Yield strength corresponding to target ductility MU |
MUK | - | Ductility achieved. Must be close to MU |
ITERK | - | Iterations needed for convergence to MUK |
Notation | Default | Description |
---|---|---|
Input | ||
DT | (-) s | Time step of the input acceleration time history XGTT |
XGTT | (-) m/s2 | Input acceleration time history |
T | [0.02, 50] s | Eigenperiods for which the response spectra are requested |
KSI | 0.05 | Fraction of critical viscous damping |
FYR | 0.1 | Yield strength ratio (yield shear to structure weight ratio) |
PYSF | 0.01 | Post-yield stiffness factor (ratio of post-yield stiffness to small strain stiffness) |
DTTOL | 0.01 | Tolerance for resampling of XGTT |
Output | ||
SMU | - | Spectral ductility demand |
SD | - | Spectral displacement |
SV | - | Spectral velocity |
SA | - | Spectral acceleration |
SEY | - | Spectral yield energy |
SED | - | Spectral damping energy |
Notation | Default | Description |
---|---|---|
Input | ||
DT | (-) s | Time step of the input acceleration time history XGTT |
XGTT | (-) m/s2 | Input acceleration time history |
T | 1 s | Eigenperiod of the SDOF system |
LAMBDAF | [0.05, 4] | Scaling factor (λ factor) for the IDA |
IM_DM | ‘SA_DISP’ | Intensity Measure (IM)–Damage Measure (DM) pair |
M | 1 kg | Mass of the SDOF oscillator |
UY | 0.01 m | Yield displacement |
PYSF | 0.01 | Post-yield stiffness factor (ratio of post-yield stiffness to small strain stiffness) |
KSI | 0.05 | Fraction of critical viscous damping |
Output | ||
DM | - | Values of damage measure |
IM | - | Values of intensity measure |
Notation | Default | Description |
---|---|---|
Input | ||
DT | (-) s | Time step of the input acceleration or velocity time history XGTT or XGT |
XGTT | (-) m/s2 | Input acceleration time history |
XGT | (-) m/s | Input velocity time history |
WNAME | Daubechies wavelet of order 4 | Wavelet family |
TPMIN | 0.25 s | Minimum pulse period for continuous wavelet transform |
TPMAX | 15 s | Maximum pulse period for continuous wavelet transform |
NSCALES | 50 | Number of values between TPMIN and TPMAX |
Output | ||
PULSETH | - | Time history of the pulse |
RESTH | - | Time history of the residual motion |
TP | - | Period of the extracted pulse |
WAVSCALE | - | Scale of largest wavelet found |
WAVCOEFS | - | Coefficient for the extracted wavelet |
Notation | Default | Description |
---|---|---|
Input | ||
DT | (-) s | Time step of the input acceleration or velocity time history XGTT or XGT |
XGTT | (-) m/s2 | Input acceleration time history |
DTI | 0.01 s | Time step of the resampled time history |
Output | ||
ACC | - | Resampled acceleration time history |
TIME | - | Time steps for the resampled acceleration time history |
Notation | Default | Description |
---|---|---|
Input | ||
DT | (-) s | Time step of the input acceleration time history XGTT |
XGTT | (-) m/s2 | Input acceleration time history |
CF | [0.05, 0.5] | Range of Coulomb friction coefficients |
Output | ||
SD | - | Spectral displacement |
SV | - | Spectral velocity |
SA | - | Spectral acceleration |
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Papazafeiropoulos, G.; Plevris, V. OpenSeismoMatlab: New Features, Verification and Charting Future Endeavors. Buildings 2024, 14, 304. https://doi.org/10.3390/buildings14010304
Papazafeiropoulos G, Plevris V. OpenSeismoMatlab: New Features, Verification and Charting Future Endeavors. Buildings. 2024; 14(1):304. https://doi.org/10.3390/buildings14010304
Chicago/Turabian StylePapazafeiropoulos, George, and Vagelis Plevris. 2024. "OpenSeismoMatlab: New Features, Verification and Charting Future Endeavors" Buildings 14, no. 1: 304. https://doi.org/10.3390/buildings14010304