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Stochastic Loading Module
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#include <vlachos_et_al.h>
Public Member Functions | |
| VlachosEtAl ()=default | |
| VlachosEtAl (double moment_magnitude, double rupture_distance, double vs30, double orientation, unsigned int num_spectra, unsigned int num_sims) | |
| VlachosEtAl (double moment_magnitude, double rupture_distance, double vs30, double orientation, unsigned int num_spectra, unsigned int num_sims, int seed_value) | |
| virtual | ~VlachosEtAl () |
| VlachosEtAl (const VlachosEtAl &)=delete | |
| VlachosEtAl & | operator= (const VlachosEtAl &)=delete |
| utilities::JsonObject | generate (const std::string &event_name, bool g_units=false) override |
| bool | generate (const std::string &event_name, const std::string &output_location, bool g_units=false) override |
| bool | time_history_family (std::vector< std::vector< double >> &time_histories, const Eigen::VectorXd ¶meters) const |
| void | simulate_time_history (std::vector< double > &time_history, const Eigen::MatrixXd &power_spectrum) const |
| bool | post_process (std::vector< double > &time_history, const std::vector< double > &filter_imp_resp) const |
| Eigen::VectorXd | identify_parameters (const Eigen::VectorXd &initial_params) const |
| std::vector< double > | modal_frequencies (const std::vector< double > ¶meters, const std::vector< double > &energy) const |
| std::vector< double > | energy_accumulation (const std::vector< double > ¶meters, const std::vector< double > ×) const |
| std::vector< double > | modal_participation_factor (const std::vector< double > ¶meters, const std::vector< double > &energy) const |
| std::vector< double > | amplitude_modulating_function (double duration, double total_energy, const std::vector< double > ¶meters, const std::vector< double > ×) const |
| Eigen::VectorXd | kt_2 (const std::vector< double > ¶meters, const std::vector< double > &frequencies, const std::vector< double > &highpass_butter) const |
| void | rotate_acceleration (const std::vector< double > &acceleration, std::vector< double > &x_accels, std::vector< double > &y_accels, bool g_units) const |
 Public Member Functions inherited from stochastic::StochasticModel | |
| StochasticModel ()=default | |
| virtual | ~StochasticModel () |
| StochasticModel (const StochasticModel &)=delete | |
| StochasticModel & | operator= (const StochasticModel &)=delete |
| std::string | model_name () const |
Additional Inherited Members | |
| Protected Attributes inherited from stochastic::StochasticModel | |
| std::string | model_name_ = "StochasticModel" |
Stochastic model for generating scenario specific ground motion time histories. This is based on the paper: Vlachos C., Papakonstantinou K.G., & Deodatis G. (2018). Predictive model for site specific simulation of ground motions based on earthquake scenarios. Earthquake Engineering & Structural Dynamics, 47(1), 195-218.
Definition at line 22 of file vlachos_et_al.h.
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default |
Delete default constructor
| stochastic::VlachosEtAl::VlachosEtAl | ( | double | moment_magnitude, |
| double | rupture_distance, | ||
| double | vs30, | ||
| double | orientation, | ||
| unsigned int | num_spectra, | ||
| unsigned int | num_sims | ||
| ) |
Construct scenario specific ground motion model based on input parameters
| [in] | moment_magnitude | Moment magnitude of earthquake scenario |
| [in] | rupture_distance | Closest-to-site rupture distance in kilometers |
| [in] | vs30 | Soil shear wave velocity averaged over top 30 meters in meters per second |
| [in] | orientation | Orientation of acceleration relative to global coordinates. Represents counter-clockwise angle (in degrees) away from x-axis rotating around z-axis in right-handed coordinate system. |
| [in] | num_spectra | Number of evolutionary power spectra that should be generated. |
| [in] | num_sims | Number of simulated ground motion time histories that should be generated per evolutionary power |
Definition at line 26 of file vlachos_et_al.cc.
| stochastic::VlachosEtAl::VlachosEtAl | ( | double | moment_magnitude, |
| double | rupture_distance, | ||
| double | vs30, | ||
| double | orientation, | ||
| unsigned int | num_spectra, | ||
| unsigned int | num_sims, | ||
| int | seed_value | ||
| ) |
Construct scenario specific ground motion model based on input parameters
| [in] | moment_magnitude | Moment magnitude of earthquake scenario |
| [in] | rupture_distance | Closest-to-site rupture distance in kilometers |
| [in] | vs30 | Soil shear wave velocity averaged over top 30 meters in meters per second |
| [in] | orientation | Orientation of acceleration relative to global coordinates. Represents counter-clockwise angle (in degrees) away from x-axis rotating around z-axis in right-handed coordinate system. |
| [in] | num_spectra | Number of evolutionary power spectra that should be generated. |
| [in] | num_sims | Number of simulated ground motion time histories that should be generated per evolutionary power |
| [in] | seed_value | Value to seed random variables with to ensure repeatability |
Definition at line 213 of file vlachos_et_al.cc.
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inlinevirtual |
Virtual destructor
Definition at line 74 of file vlachos_et_al.h.
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delete |
Delete copy constructor
| std::vector< double > stochastic::VlachosEtAl::amplitude_modulating_function | ( | double | duration, |
| double | total_energy, | ||
| const std::vector< double > & | parameters, | ||
| const std::vector< double > & | times | ||
| ) | const |
Calculate amplitude modulating function as defined by Eq-7 on page 6
| [in] | duration | Total duration of target seismic record |
| [in] | total_energy | Total energy content of seismic ground acceleration |
| [in] | parameters | Vector of values containing energy parameters gamma and delta |
| [in] | times | Vector containing non-dimensional times at which to calculate energy accumulation |
Definition at line 849 of file vlachos_et_al.cc.
| std::vector< double > stochastic::VlachosEtAl::energy_accumulation | ( | const std::vector< double > & | parameters, |
| const std::vector< double > & | times | ||
| ) | const |
Calculate the energy accumulation over the times specified in the inputs as defined by Eq-5 on page 6.
| [in] | parameters | Vector of values containing energy parameters gamma and delta |
| [in] | times | Vector containing non-dimensional times at which to calculate energy accumulation |
Definition at line 816 of file vlachos_et_al.cc.
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overridevirtual |
Generate ground motion time histories based on input parameters and store outputs as JSON object. Throws exception if errors are encountered during time history generation.
| [in] | event_name | Name to assign to event |
| [in] | g_units | Indicates that time histories should be returned in units of g. Defaults to false where time histories are returned in units of m/s^2 |
Implements stochastic::StochasticModel.
Definition at line 400 of file vlachos_et_al.cc.
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overridevirtual |
Generate ground motion time histories based on input parameters and write results to file in JSON format. Throws exception if errors are encountered during time history generation.
| [in] | event_name | Name to assign to event |
| [in,out] | output_location | Location to write outputs to |
| [in] | g_units | Indicates that time histories should be returned in units of g. Defaults to false where time histories are returned in units of m/s^2 |
Implements stochastic::StochasticModel.
Definition at line 476 of file vlachos_et_al.cc.
| Eigen::VectorXd stochastic::VlachosEtAl::identify_parameters | ( | const Eigen::VectorXd & | initial_params | ) | const |
Identifies modal frequency parameters for mode 1 and 2
| [in] | initial_params | Initial set of parameters |
Definition at line 715 of file vlachos_et_al.cc.
| Eigen::VectorXd stochastic::VlachosEtAl::kt_2 | ( | const std::vector< double > & | parameters, |
| const std::vector< double > & | frequencies, | ||
| const std::vector< double > & | highpass_butter | ||
| ) | const |
Calculate evolutionary power spectrum at specific time using parametric, bimodal, fully non-stationary Kinai-Tajimi (K-T) model of seismic ground acceleration signal consisting of 2 distinct spectral modes. This is described by Eq-1 on page 4.
| [in] | parameters | Vector of parameters fg_1, zeta_1, S0_1, fg_2, zeta_2 and S0_2 which define the time varying modal dominant frequency, model apparent damping ratio, and modal participation factor associated with the two modes. NOTE: Values of fg_1, fg_2 and S0_2 must be for the particular time at which the power spectrum is desired |
| [in] | frequencies | Vector of frequencies at which to evaluate evolutionary power spectrum |
| [in] | highpass_butter | Vector of Butterworth filter transfer function energy content at input frequencies |
Definition at line 866 of file vlachos_et_al.cc.
| std::vector< double > stochastic::VlachosEtAl::modal_frequencies | ( | const std::vector< double > & | parameters, |
| const std::vector< double > & | energy | ||
| ) | const |
Calculate the dominant modal frequencies as a function of non-dimensional cumulative energy and the model parameters Q_k, alpha_k, and beta_k where k is the mode (either 1 or 2). This is defined by Eq-8 on page 6.
| [in] | parameters | Vector of values for alpha_k, beta_k and Q_k at k-th mode |
| [in] | energy | Vector of non-dimensional energy values at which to calculate frequency |
Definition at line 803 of file vlachos_et_al.cc.
| std::vector< double > stochastic::VlachosEtAl::modal_participation_factor | ( | const std::vector< double > & | parameters, |
| const std::vector< double > & | energy | ||
| ) | const |
Calculate the logarithmic normalized modal participation factor for the second mode as defined by Eq-11 on page 7.
| [in] | parameters | Vector of values for F(I), mu(I), sigma(I), F(II), mu(II) and sigma(II) |
| [in] | energy | Vector of non-dimensional energy values at which to calculate frequency |
Definition at line 830 of file vlachos_et_al.cc.
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delete |
Delete assignment operator
| bool stochastic::VlachosEtAl::post_process | ( | std::vector< double > & | time_history, |
| const std::vector< double > & | filter_imp_resp | ||
| ) | const |
Post-process the input time history as described in Vlachos et al. using multiple-window estimation technique after Conte & Peng (1997) and highpass Butterworth filter
| [in,out] | time_history | Time history to post-process. Post-processed results are also stored here. |
| [in] | filter_imp_resp | Impulse response of Butterworth filter |
Definition at line 662 of file vlachos_et_al.cc.
| void stochastic::VlachosEtAl::rotate_acceleration | ( | const std::vector< double > & | acceleration, |
| std::vector< double > & | x_accels, | ||
| std::vector< double > & | y_accels, | ||
| bool | g_units | ||
| ) | const |
Rotate acceleration based on orientation angle
| [in] | acceleration | Acceleration to rotate |
| [in,out] | x_accels | Vector to store x-component of acceleration to |
| [in,out] | y_accels | Vector to story y-component of acceleration to |
| [in] | g_units | Indicates that time histories should be returned in units of g |
Definition at line 893 of file vlachos_et_al.cc.
| void stochastic::VlachosEtAl::simulate_time_history | ( | std::vector< double > & | time_history, |
| const Eigen::MatrixXd & | power_spectrum | ||
| ) | const |
Simulate fully non-stationary ground motion sample realization based on time and frequency discretization and the discretized evolutionary power spectrum. This is described by Eq-19 on page 8.
| [in,out] | time_history | Location where time history should be stored |
| [in] | power_spectrum | Matrix containing values of power spectrum over range of frequencies at specified times. |
Definition at line 612 of file vlachos_et_al.cc.
| bool stochastic::VlachosEtAl::time_history_family | ( | std::vector< std::vector< double >> & | time_histories, |
| const Eigen::VectorXd & | parameters | ||
| ) | const |
Compute a family of time histories for a particular power spectrum
| [in,out] | time_histories | Location where time histories should be stored |
| [in] | parameters | Set of model parameters to use for calculating power specturm and time histories |
Definition at line 494 of file vlachos_et_al.cc.
1.8.11
