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Keywords: optimization, topology, dynamics, dance, composite.

Summary

The paper deals with the analysis and design of dance floors. The dynamic loading of dance is dominant and the design of dance floors has to eliminate the danger of the resonance [1].

Firstly the dynamic loading of the dance is analyzed. The analysis considers frequency, time history, intensity of the loading and the force distribution on the structure. Common types of dances are studied. To each dance type the frequency function is derived. The frequency function takes into account weighted multiples of the dance frequency and deviations on the basis of a Gauss distribution. The envelope of all frequency functions appropriate to each dance defines the resonance danger area. Natural frequencies of the designed dance floor have to avoid the highest values of the envelope. That is reflected as a constraint in the design optimization of the structure.

The design of the roof is defined as a topology optimization problem. The objective is the weight minimization of the roof. The new constraint formulation in topology optimization is applied. The "dynamic" constraint is defined with help of the envelope of all frequency functions constructed from dance frequencies, their multiples and their deviations. The special technology of composite reinforced concrete with polystyrene elements applied to the roof structure is prescribed as the "technology" constraint.

A genetic algorithm is used as the optimization procedure. Empirical knowledge helps to set the parameters of the genetic algorithm to make the optimization efficient.

The design of the dance floor on the basis of topology optimization is presented in the example. The result of the topology optimization is technically applied in the structural design of a reinforced concrete plate with polystyrene elements [2].

The modal analysis and time history analysis (using various dances from the set of common dances) of the designed structure proves the acceptable dynamic response.

The model, analysis and optimization were programmed using ANSYS [3,4] and MATLAB.

Generally, new technologies in civil engineering enable the application of topology optimization resulting in practical realisation.

References

1: H. Bachmann, "Vibration problems in structures", Birkhäuser, Basel, 1995.
2: Cobiax, "Lightweight Solutions in Concrete", Vienna, 2009.
3: S. Schmeiser, "Topologieoptimierung von einem Tanzboden", Master's thesis, Vienna, 2010.
4: ANSYS, Inc., "Release 12.1 Documentation for ANSYS", 2009.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 93 PROCEEDINGS OF THE TENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: Paper 337 A Topology Design of a Composite Dance Hall Roof P. Rosko Center of Mechanics and Structural Dynamics, Institute for Building Construction and Technology, Vienna University of Technology, Austria doi:10.4203/ccp.93.337 purchase the full-text of this paper Full Bibliographic Reference for this paper P. Rosko, "A Topology Design of a Composite Dance Hall Roof", in , (Editors), "Proceedings of the Tenth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 337, 2010. doi:10.4203/ccp.93.337 Keywords: optimization, topology, dynamics, dance, composite. Summary The paper deals with the analysis and design of dance floors. The dynamic loading of dance is dominant and the design of dance floors has to eliminate the danger of the resonance [1]. Firstly the dynamic loading of the dance is analyzed. The analysis considers frequency, time history, intensity of the loading and the force distribution on the structure. Common types of dances are studied. To each dance type the frequency function is derived. The frequency function takes into account weighted multiples of the dance frequency and deviations on the basis of a Gauss distribution. The envelope of all frequency functions appropriate to each dance defines the resonance danger area. Natural frequencies of the designed dance floor have to avoid the highest values of the envelope. That is reflected as a constraint in the design optimization of the structure. The design of the roof is defined as a topology optimization problem. The objective is the weight minimization of the roof. The new constraint formulation in topology optimization is applied. The "dynamic" constraint is defined with help of the envelope of all frequency functions constructed from dance frequencies, their multiples and their deviations. The special technology of composite reinforced concrete with polystyrene elements applied to the roof structure is prescribed as the "technology" constraint. A genetic algorithm is used as the optimization procedure. Empirical knowledge helps to set the parameters of the genetic algorithm to make the optimization efficient. The design of the dance floor on the basis of topology optimization is presented in the example. The result of the topology optimization is technically applied in the structural design of a reinforced concrete plate with polystyrene elements [2]. The modal analysis and time history analysis (using various dances from the set of common dances) of the designed structure proves the acceptable dynamic response. The model, analysis and optimization were programmed using ANSYS [3,4] and MATLAB. Generally, new technologies in civil engineering enable the application of topology optimization resulting in practical realisation. References 1 H. Bachmann, "Vibration problems in structures", Birkhäuser, Basel, 1995. 2 Cobiax, "Lightweight Solutions in Concrete", Vienna, 2009. 3 S. Schmeiser, "Topologieoptimierung von einem Tanzboden", Master's thesis, Vienna, 2010. 4 ANSYS, Inc., "Release 12.1 Documentation for ANSYS", 2009. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £145 +P&P)
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