Scaling laws obtained from a sensitivity analysis and applied to thin vibrating structures

作者： | Christian Adams, Joachim Bös, Elena M. Slomski, Tobias Melz |

作者单位： |
^{1}Technische Universität Darmstadt, System Reliability, Adaptive Structures, and Machine Acoustics SAM, Magdalenenstr. 4, 64289 Darmstadt, Germany^{2}Fraunhofer Institute for Structural Durability and System Reliability LBF, Bartningstr. 47, 64289 Darmstadt, Germany |

刊名： | Mechanical Systems and Signal Processing, 2018, Vol.110 , pp.590-610 |

来源数据库： | Elsevier Journal |

DOI： | 10.1016/j.ymssp.2018.03.032 |

关键词： | Scaling laws; Sensitivity analysis; Similitude analysis; Sensitivity-based scaling laws; Mechanical vibrations; Vibrating thin structures; |

英文摘要： | Abstract(#br)Scaling laws are used to scale-up calculation or measurement results from a prototype structure to those of an original structure or vice versa. The scaling laws of mechanical structures are usually obtained from their equations of motion or from a dimensional analysis. This paper proposes scaling laws that are represented by a power law. The power law is directly deduced from the Π -theorem of similitude theory and the coefficients of the power law are obtained from first order sensitivities (sensitivity-based scaling laws). Among existing similitude analysis methods such as dimensional analysis the sensitivity-based scaling laws can be directly obtained from a model without a priori knowledge of its scaling behavior, e.g., from a finite element (FE) model. The applicability... |