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Curve veering in spherical reticulated shells: Numerical simulations and mechanism analysis
https://orcid.org/0000-0002-7379-0344
Abstract The phenomena of curve veering, encompassing frequency loci veering and modal jumping, are investigated in the context of spherical reticulated shells by incorporating random detuning parameters with a Gaussian distribution into the mass matrix. The Finite Element Method (FEM) is systematically employed to investigate the effects of the assumed mass detuning patterns on the natural frequencies and modal shapes exhibited by a spherical reticulated shell. Our findings reveal the presence of frequency loci veering in certain typical detuning scenarios. Subsequently, the Frequency Veering Index (FVI) is proposed to determine the position of veering points. In conjunction, the occurrence of the mode jumping phenomenon is observed in proximity to veering points. The Modal Assurance Criterion (MAC) is proposed as a metric to evaluate the mode jumping phenomenon, and the number of veering points is ascertained through statistical analysis. Ultimately, the matrix perturbation method is employed to validate the underlying mechanisms of frequency loci veering and mode jumping phenomena, while a simplified model is utilized to provide a deeper understanding of their intrinsic nature.
Highlights Investigating curve veering in spherical reticulated shells using Gaussian-distributed detuning parameters via FEM. Findings reveal frequency loci veering in certain scenarios; introducing Frequency Veering Index to identify veering points. Observing mode jumping phenomenon near veering points; proposing Modal Assurance Criterion (MAC) for evaluation. Statistical analysis used to determine the number of veering points. Matrix perturbation method validates frequency loci veering and mode jumping, while a simplified model enhances understanding.
Curve veering in spherical reticulated shells: Numerical simulations and mechanism analysis
https://orcid.org/0000-0002-7379-0344
Abstract The phenomena of curve veering, encompassing frequency loci veering and modal jumping, are investigated in the context of spherical reticulated shells by incorporating random detuning parameters with a Gaussian distribution into the mass matrix. The Finite Element Method (FEM) is systematically employed to investigate the effects of the assumed mass detuning patterns on the natural frequencies and modal shapes exhibited by a spherical reticulated shell. Our findings reveal the presence of frequency loci veering in certain typical detuning scenarios. Subsequently, the Frequency Veering Index (FVI) is proposed to determine the position of veering points. In conjunction, the occurrence of the mode jumping phenomenon is observed in proximity to veering points. The Modal Assurance Criterion (MAC) is proposed as a metric to evaluate the mode jumping phenomenon, and the number of veering points is ascertained through statistical analysis. Ultimately, the matrix perturbation method is employed to validate the underlying mechanisms of frequency loci veering and mode jumping phenomena, while a simplified model is utilized to provide a deeper understanding of their intrinsic nature.
Highlights Investigating curve veering in spherical reticulated shells using Gaussian-distributed detuning parameters via FEM. Findings reveal frequency loci veering in certain scenarios; introducing Frequency Veering Index to identify veering points. Observing mode jumping phenomenon near veering points; proposing Modal Assurance Criterion (MAC) for evaluation. Statistical analysis used to determine the number of veering points. Matrix perturbation method validates frequency loci veering and mode jumping, while a simplified model enhances understanding.
Curve veering in spherical reticulated shells: Numerical simulations and mechanism analysis
https://orcid.org/0000-0002-7379-0344
Abstract The phenomena of curve veering, encompassing frequency loci veering and modal jumping, are investigated in the context of spherical reticulated shells by incorporating random detuning parameters with a Gaussian distribution into the mass matrix. The Finite Element Method (FEM) is systematically employed to investigate the effects of the assumed mass detuning patterns on the natural frequencies and modal shapes exhibited by a spherical reticulated shell. Our findings reveal the presence of frequency loci veering in certain typical detuning scenarios. Subsequently, the Frequency Veering Index (FVI) is proposed to determine the position of veering points. In conjunction, the occurrence of the mode jumping phenomenon is observed in proximity to veering points. The Modal Assurance Criterion (MAC) is proposed as a metric to evaluate the mode jumping phenomenon, and the number of veering points is ascertained through statistical analysis. Ultimately, the matrix perturbation method is employed to validate the underlying mechanisms of frequency loci veering and mode jumping phenomena, while a simplified model is utilized to provide a deeper understanding of their intrinsic nature.
Highlights Investigating curve veering in spherical reticulated shells using Gaussian-distributed detuning parameters via FEM. Findings reveal frequency loci veering in certain scenarios; introducing Frequency Veering Index to identify veering points. Observing mode jumping phenomenon near veering points; proposing Modal Assurance Criterion (MAC) for evaluation. Statistical analysis used to determine the number of veering points. Matrix perturbation method validates frequency loci veering and mode jumping, while a simplified model enhances understanding.
Curve veering in spherical reticulated shells: Numerical simulations and mechanism analysis
Liu, Zhanhui (author) / Lu, Zhimou (author) / Gao, Weicheng (author) / Demartino, Cristoforo (author) / Li, Yongle (author)
Thin-Walled Structures ; 191
2023-07-12
Article (Journal)
Electronic Resource
English
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