﻿ Building Damage Model

# Building Damage Model

## Class Name

• RBuildingDamageModel

## 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).

• No

## 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.

### Building Information Model

• 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”.