### Abstract

This investigation focuses on determining how to optimally represent the temperature distribution of a structure to capture at best its effects on the nonlinear geometric response of the structure expressed in a given modal expansion format. More specifically, with the temperature assumed in an expansion form, it is desired to find thermal basis functions most adapted for the ensuing structural computations. Under the assumptions that the tensor of elasticity and coefficient of thermal expansion are independent of temperature, it is justified that these thermal basis functions should be proportional to linear and nonlinear stress distributions induced by each structural mode and linear combinations of two such modes in the absence of temperature. The implementation of this finding in the context of structural and thermal finite element models is described and validated on a hypersonic panel under strong coupling between structural, thermal, and aerodynamic analyses. It is observed that the effects of the temperature on the structural response are indeed accurately captured without requiring a full modeling of the temperature field.

Original language | English (US) |
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Title of host publication | Nonlinear Dynamics |

Publisher | Springer New York LLC |

Pages | 267-278 |

Number of pages | 12 |

Volume | 1 |

ISBN (Print) | 9783319297385 |

DOIs | |

State | Published - 2016 |

Event | 34th IMAC, A Conference and Exposition on Structural Dynamics, 2016 - Orlando, United States Duration: Jan 25 2016 → Jan 28 2016 |

### Other

Other | 34th IMAC, A Conference and Exposition on Structural Dynamics, 2016 |
---|---|

Country | United States |

City | Orlando |

Period | 1/25/16 → 1/28/16 |

### Fingerprint

### Keywords

- Basis functions
- Cracked structure
- Generalized finite element modeling
- Local enrichment
- Nonlinear geometric response
- Reduced order modeling
- Structural model
- Thermal model

### ASJC Scopus subject areas

- Engineering(all)
- Computational Mechanics
- Mechanical Engineering

### Cite this

*Nonlinear Dynamics*(Vol. 1, pp. 267-278). Springer New York LLC. https://doi.org/10.1007/978-3-319-29739-2_25

**Optimal representation of a varying temperature field for coupling with a structural reduced order model.** / Murthy, Raghavendra; Matney, Andrew K.; Wang, X. Q.; Mignolet, Marc.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Nonlinear Dynamics.*vol. 1, Springer New York LLC, pp. 267-278, 34th IMAC, A Conference and Exposition on Structural Dynamics, 2016, Orlando, United States, 1/25/16. https://doi.org/10.1007/978-3-319-29739-2_25

}

TY - GEN

T1 - Optimal representation of a varying temperature field for coupling with a structural reduced order model

AU - Murthy, Raghavendra

AU - Matney, Andrew K.

AU - Wang, X. Q.

AU - Mignolet, Marc

PY - 2016

Y1 - 2016

N2 - This investigation focuses on determining how to optimally represent the temperature distribution of a structure to capture at best its effects on the nonlinear geometric response of the structure expressed in a given modal expansion format. More specifically, with the temperature assumed in an expansion form, it is desired to find thermal basis functions most adapted for the ensuing structural computations. Under the assumptions that the tensor of elasticity and coefficient of thermal expansion are independent of temperature, it is justified that these thermal basis functions should be proportional to linear and nonlinear stress distributions induced by each structural mode and linear combinations of two such modes in the absence of temperature. The implementation of this finding in the context of structural and thermal finite element models is described and validated on a hypersonic panel under strong coupling between structural, thermal, and aerodynamic analyses. It is observed that the effects of the temperature on the structural response are indeed accurately captured without requiring a full modeling of the temperature field.

AB - This investigation focuses on determining how to optimally represent the temperature distribution of a structure to capture at best its effects on the nonlinear geometric response of the structure expressed in a given modal expansion format. More specifically, with the temperature assumed in an expansion form, it is desired to find thermal basis functions most adapted for the ensuing structural computations. Under the assumptions that the tensor of elasticity and coefficient of thermal expansion are independent of temperature, it is justified that these thermal basis functions should be proportional to linear and nonlinear stress distributions induced by each structural mode and linear combinations of two such modes in the absence of temperature. The implementation of this finding in the context of structural and thermal finite element models is described and validated on a hypersonic panel under strong coupling between structural, thermal, and aerodynamic analyses. It is observed that the effects of the temperature on the structural response are indeed accurately captured without requiring a full modeling of the temperature field.

KW - Basis functions

KW - Cracked structure

KW - Generalized finite element modeling

KW - Local enrichment

KW - Nonlinear geometric response

KW - Reduced order modeling

KW - Structural model

KW - Thermal model

UR - http://www.scopus.com/inward/record.url?scp=84983001824&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84983001824&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-29739-2_25

DO - 10.1007/978-3-319-29739-2_25

M3 - Conference contribution

AN - SCOPUS:84983001824

SN - 9783319297385

VL - 1

SP - 267

EP - 278

BT - Nonlinear Dynamics

PB - Springer New York LLC

ER -