### Abstract

It is well known that equipment can cause unwanted vibrations in buildings. Springs have been used to isolate these vibrations and reduce transmitted forces to building structures. For simple vertical harmonic motion and free vibration, the problem is easily evaluated using simple charts and figures. Evaluation of spring-isolated equipment responding to earthquakes is not simple. A numerical method is included to evaluate response of equipment to earthquakes and harmonic forcing functions. Configuration of equipment on springs is simplified for numerical analysis. A simplified approach and associated equations of motion can be developed to evaluate the response of the equipment with vertical and horizontal forcing functions. Response of spring isolation in the vertical direction is based on the vertical forcing function acting on the center of mass and results in the translation of the total mass (up and down). Horizontal forcing functions result in a change in the angle around the center of mass. If the mass of the equipment is offset from the center of mass, then the vertical and angular responses are coupled. Resulting tension and compression forces at the spring can be directly related to the center of mass vertical and rotational displacements and velocities. Results of this numerical method may be used to verify simplified methods.

Original language | English (US) |
---|---|

Pages (from-to) | 321-328 |

Number of pages | 8 |

Journal | ASHRAE Transactions |

Volume | 110 PART 1 |

State | Published - May 28 2004 |

Event | ASHRAE Transactions - Anaheim, CA, United States Duration: Jan 25 2004 → Jan 25 2004 |

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### ASJC Scopus subject areas

- Fluid Flow and Transfer Processes

### Cite this

*ASHRAE Transactions*,

*110 PART 1*, 321-328.

**Vibration isolation : Harmonic and seismic forcing using the Wilson Theta Method.** / Carlson, James A.; Turner, Joseph A.

Research output: Contribution to journal › Conference article

*ASHRAE Transactions*, vol. 110 PART 1, pp. 321-328.

}

TY - JOUR

T1 - Vibration isolation

T2 - Harmonic and seismic forcing using the Wilson Theta Method

AU - Carlson, James A.

AU - Turner, Joseph A

PY - 2004/5/28

Y1 - 2004/5/28

N2 - It is well known that equipment can cause unwanted vibrations in buildings. Springs have been used to isolate these vibrations and reduce transmitted forces to building structures. For simple vertical harmonic motion and free vibration, the problem is easily evaluated using simple charts and figures. Evaluation of spring-isolated equipment responding to earthquakes is not simple. A numerical method is included to evaluate response of equipment to earthquakes and harmonic forcing functions. Configuration of equipment on springs is simplified for numerical analysis. A simplified approach and associated equations of motion can be developed to evaluate the response of the equipment with vertical and horizontal forcing functions. Response of spring isolation in the vertical direction is based on the vertical forcing function acting on the center of mass and results in the translation of the total mass (up and down). Horizontal forcing functions result in a change in the angle around the center of mass. If the mass of the equipment is offset from the center of mass, then the vertical and angular responses are coupled. Resulting tension and compression forces at the spring can be directly related to the center of mass vertical and rotational displacements and velocities. Results of this numerical method may be used to verify simplified methods.

AB - It is well known that equipment can cause unwanted vibrations in buildings. Springs have been used to isolate these vibrations and reduce transmitted forces to building structures. For simple vertical harmonic motion and free vibration, the problem is easily evaluated using simple charts and figures. Evaluation of spring-isolated equipment responding to earthquakes is not simple. A numerical method is included to evaluate response of equipment to earthquakes and harmonic forcing functions. Configuration of equipment on springs is simplified for numerical analysis. A simplified approach and associated equations of motion can be developed to evaluate the response of the equipment with vertical and horizontal forcing functions. Response of spring isolation in the vertical direction is based on the vertical forcing function acting on the center of mass and results in the translation of the total mass (up and down). Horizontal forcing functions result in a change in the angle around the center of mass. If the mass of the equipment is offset from the center of mass, then the vertical and angular responses are coupled. Resulting tension and compression forces at the spring can be directly related to the center of mass vertical and rotational displacements and velocities. Results of this numerical method may be used to verify simplified methods.

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M3 - Conference article

VL - 110 PART 1

SP - 321

EP - 328

JO - ASHRAE Transactions

JF - ASHRAE Transactions

SN - 0001-2505

ER -