Project Overview
This tutorial investigates the seismic response of a multi-story frame with and without viscous dampers using the Abaqus software.
The main objective is to compare the structural response in the two cases and investigate how the use of a viscous damper affects horizontal displacement, base shear, and energy dissipation during earthquake loading.
Model Description
The structural model consists of a 7-story frame with 3 spans. The height between consecutive stories is 3 meters.
Two different models are considered in this tutorial: a frame with a viscous damper and a frame without a viscous damper. The results obtained from both models are compared to evaluate the effect of the damper on the seismic response of the structure.
Earthquake Loading
The Kobe earthquake is applied at the base of the frame to investigate its response under seismic loading.
The earthquake excitation is used to evaluate the horizontal displacement and base shear of the frame and to investigate the distribution of earthquake energy throughout the structure.
Horizontal Displacement
The horizontal displacement of the frame is obtained for both the model with a viscous damper and the model without a viscous damper.
The comparison of the results shows that the use of a viscous damper reduces the horizontal displacement of the frame under earthquake loading.
Base Shear
The base shear of the frame is also obtained from the Abaqus analysis for both cases.
According to the obtained results, the use of a viscous damper decreases the base shear of the frame during the earthquake.
Energy Balance
One of the main objectives of this tutorial is to investigate the energy balance equation during earthquake loading. The different forms of energy involved in the analysis are obtained from Abaqus and compared for the two structural models.
The external work represents the energy introduced into the structure by the earthquake. This energy is distributed among kinetic energy, strain energy, plastic dissipation, viscous dissipation, and frictional dissipation.
Energy Dissipation with Viscous Damper
When a viscous damper is used, a significant portion of the earthquake energy is absorbed through viscous dissipation. Therefore, less energy is converted into plastic deformation of the structural members.
The viscous damper dissipates a considerable amount of the energy introduced into the structure by the earthquake.
Energy Dissipation Without Viscous Damper
In the model without a viscous damper, a larger portion of the earthquake energy is converted into plastic dissipation.
In other words, more of the earthquake energy is consumed through deformation and plastic behavior of the structural members.
Energy Components in Abaqus
The following energy quantities are used to investigate the energy balance of the structure:
- ALLFD – Frictional dissipation
- ALLKE – Kinetic energy
- ALLPD – Plastic dissipation
- ALLSE – Strain energy or elastic strain energy
- ALLVD – Viscous dissipation or energy absorbed by damper
- ALLWK – External work
Internal Energy
The internal energy of the structure is also investigated in this tutorial. The internal energy is obtained from the sum of the strain energy and plastic dissipation:
Internal Energy = Strain Energy + Plastic Dissipation
In Abaqus, these quantities correspond to ALLSE and ALLPD, respectively.
What You Will Learn
- How to model a multi-story frame in Abaqus.
- How to model a viscous damper in a structural frame.
- How to analyze a frame with and without a viscous damper.
- How to apply earthquake loading to a structural model.
- How to use the Kobe earthquake record in Abaqus.
- How to obtain the horizontal displacement of the frame.
- How to obtain the base shear of the structure.
- How to investigate the energy balance of a structure.
- How to extract kinetic energy from Abaqus.
- How to extract strain energy from Abaqus.
- How to obtain plastic and viscous dissipation.
- How to calculate internal energy from Abaqus results.
- How to compare the energy dissipation of frames with and without dampers.
Key Features
- Seven-story, three-span structural frame.
- Story height of 3 meters.
- Frame with viscous damper.
- Frame without viscous damper.
- Kobe earthquake loading.
- Horizontal displacement comparison.
- Base shear comparison.
- Energy balance analysis.
- Kinetic energy (ALLKE).
- Strain energy (ALLSE).
- Plastic dissipation (ALLPD).
- Viscous dissipation (ALLVD).
- Frictional dissipation (ALLFD).
- External work (ALLWK).
- Internal energy calculation.
- Free Abaqus tutorial.
Project Information
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