期刊
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
卷 169, 期 -, 页码 -出版社
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ymssp.2021.108703
关键词
Inverse problems; Identification of prestress; Spider orb-web; Membranes; Vibration; Regularization
资金
- Fapesp-Sao Paulo Research Foundation [2019/14827-0]
- Ministerio de Economia y Competitividad de Espana [PGC2018-098218-B-I00]
In this paper, a constructive procedure is proposed to determine the radial pretension in an axially-symmetric orb-web based on one eigenfrequency and its corresponding vibration mode. The method can be applied to both axisymmetric modes and non-axisymmetric modes, and regularization technique and filtering process are proposed to improve the reconstruction of the pretension field.
In this paper we propose a constructive procedure to determine the radial pretension in an axially-symmetric orb-web, on the basis of one eigenfrequency and its corresponding vibration mode. The method can be applied both to axisymmetric modes, corresponding to the solution of a regular Sturm-Liouville problem, and to non-axisymmetric modes, corresponding to the solution of a singular Sturm-Liouville problem. In the absence of measurement errors of the eigenfunction, the identification of the pretension field is almost perfect. On the contrary, if the measurement presents some noise, then identification is imprecise. In this case, a regularization technique applied to the measurement of the eigenfunction, or to its derivative, is proposed, as well as a filtering process, which significantly improves the reconstruction of the pretension field. The fundamental mode of vibration, sampled with a suitable number of points, is the one that provides the lowest identification error.
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