Building Damage Model
Class Name
Building Damage
- Models > Model > Consequence > Economic > Building Damage
Model Description
Model Form
$${\eta _S} = \Phi \left( {{\theta _1} \cdot \ln \left( {{\delta _p}} \right) + {\theta _2} \cdot \ln \left( H \right) - {\theta _3} \cdot \alpha + {\theta _4}} \right) \cdot \exp \left( {{\theta _5} \cdot {I_{VI}} + {\theta _6} \cdot {I_{PI}} + {\theta _7} \cdot {I_{SS}} + {\theta _8} \cdot {I_{SC}} + {\theta _9} \cdot {I_P}} \right) + {\sigma _1} \cdot {\varepsilon _1}$$
$${\eta _{ND}} = \Phi \left( {{\theta _{10}} \cdot \ln \left( {{\delta _p}} \right) + {\theta _{11}}} \right) + {\sigma _2} \cdot {\varepsilon _2}$$
$${\eta _{NA}} = \Phi \left( {{\theta _{12}} \cdot \ln \left( {{A_p}} \right) - {\theta _{13}} \cdot \alpha } \right) + {\sigma _3} \cdot {\varepsilon _3}$$
$${\eta _C} = \Phi \left( {{\theta _{14}} \cdot \ln \left( {{A_p}} \right) - {\theta _{15}} \cdot \alpha } \right) + {\sigma _4} \cdot {\varepsilon _4}$$
where Building damage model, gets some of the parameters from the Building Information model.
- For further information on this model, refer to Mahsuli, M., Haukaas, T. (2013) and Mahsuli, M., Haukaas, T. (2013).
DDM sensitivities
Properties
Object Name
- Name of the object in Rt
- Allowable characters are upper-case and lower-case letters, numbers, and underscore (“_”).
- The name is unique and case-sensitive.
Display Output
- Determines whether the model is allowed to print messages to the Output Pane.
- A Building Information Model object that returns the height, \({H}\), the code level, \({\alpha}\), and the irregularity information, \({I_{(.)}}\), to this model.
Peak Drift Ratio
- \({\delta_p}\) = Peak drift ratio
Peak Acceleration
- \({A_p}\) = Peak Acceleration
Theta1 - Theta9
- \({\theta_1}\) - \({\theta_9}\)= Structural damage model parameters
Theta10 - Theta11
- \({\theta_{10}}\) - \({\theta_{11}}\)= Non-structural drift damage model parameters
Theta12 - Theta13
- \({\theta_{12}}\) - \({\theta_{13}}\)= Non-structural acceleration damage model parameters
Theta14 - Theta15
- \({\theta_{12}}\) - \({\theta_{13}}\)= Non-structural acceleration damage model parameters
Sigma1
- \({\sigma_1}\) = Standard deviation of the structural damage model error
Sigma2
- \({\sigma_2}\) = Standard deviation of the non-structural drift damage model error
Sigma3
- \({\sigma_3}\) = Standard deviation of the non-structural acceleration damage model error
Sigma4
- \({\sigma_4}\) = Standard deviation of the content damage model error
Epsilon1
- \({\varepsilon_1}\) = Structural damage model error
Epsilon2
- \({\varepsilon_2}\) = Structural damage model error
Epsilon3
- \({\varepsilon_1}\) = Non-structural acceleration damage model error
Epsilon4
- \({\varepsilon_2}\) = Content damage model error
Output
- \({\eta_S}\) = Structural damage ratio
- \({\eta_{ND}}\) = Non-structural drift damage ratio
- \({\eta_{NA}}\) = Non-structural acceleration damage ratio
- \({\eta_C}\) = Content damage ratio
- The output is an automatically generated generic response object, which takes the object name of the model plus “Response”.
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References
- Mahsuli, M., Haukaas, T. (2013) “Seismic risk analysis with reliability methods, part I: Models,” Structural Safety, 42, pp. 54-62 (DOI)
- Mahsuli, M., Haukaas, T. (2013) “Seismic risk analysis with reliability methods, part II: Analysis,” Structural Safety, 42, pp. 63-74 (DOI)