Iterative methods for eigensesnitivity analysis-a review
Конференцијски прилог (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
The dynamic behavior of a structural system is characterized by its eigendata. The partial
derivatives of eigenvalues and eigenvectors of mechanical system with respect to the design
parameters have attracted extensive attention for the last four decades because of their various
applications, such as optimal dynamic design, machinery failure diagnostic, parameter
identification, model modification and automative control. A more general problem of structural
dynamic analysis has three important aspects. Firstly, the observed physical structure is
represented by initial finite element model. Modeling is based on numerous idealizing
approximations within an exaggerated elaboration of details, which in essence does not
significantly improve the accuracy of output data, especially having available powerful computers
and appropriate software packages. Optimal alternative is to have the possibility of verifying
outputted data that were measured on a prototype or real structure. Seco...ndly, the dynamic
characteristics of construction under reanalysis are analyzed. What is basically observed are
eigenvalues and main forms of oscillations as characteristic variables that can invoke inadequate
actual dynamic behavior. Thirdly, on the basis of the analysis of actual dynamic behavior,
modification steps are proposed after which a modified model is obtained. Having in mind that
mechanical structures are most often very complex, the most convenient modification steps are
not easily obtained. The most straightforward approach for calculating the derivatives is the finite
difference method. There mainly exist three categories in the literature: the modal method, the
direct method and the iterative method. Several methods for the computation of eigenvector
derivatives is analyzed with emphasis on the iterative methods.
Кључне речи:
eigensensitivity / structural optimization / repeated frequenciesИзвор:
Proceedings of the 6th International Congress of Serbian Society of Mechanics, 2017, S6cФинансирање / пројекти:
- Развој савремених метода дијагностике и испитивања машинских структура (RS-MESTD-Technological Development (TD or TR)-35040)
- Интегритет опреме под притиском при истовременом деловању замарајућег оптерећења и температуре (RS-MESTD-Technological Development (TD or TR)-35011)
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Trišović, Nataša AU - Li, Wei AU - Sedmak, Aleksandar AU - Petrović, Ana AU - Mitrović, Radivoje AU - Stokić, Zoran PY - 2017 UR - https://machinery.mas.bg.ac.rs/handle/123456789/5985 AB - The dynamic behavior of a structural system is characterized by its eigendata. The partial derivatives of eigenvalues and eigenvectors of mechanical system with respect to the design parameters have attracted extensive attention for the last four decades because of their various applications, such as optimal dynamic design, machinery failure diagnostic, parameter identification, model modification and automative control. A more general problem of structural dynamic analysis has three important aspects. Firstly, the observed physical structure is represented by initial finite element model. Modeling is based on numerous idealizing approximations within an exaggerated elaboration of details, which in essence does not significantly improve the accuracy of output data, especially having available powerful computers and appropriate software packages. Optimal alternative is to have the possibility of verifying outputted data that were measured on a prototype or real structure. Secondly, the dynamic characteristics of construction under reanalysis are analyzed. What is basically observed are eigenvalues and main forms of oscillations as characteristic variables that can invoke inadequate actual dynamic behavior. Thirdly, on the basis of the analysis of actual dynamic behavior, modification steps are proposed after which a modified model is obtained. Having in mind that mechanical structures are most often very complex, the most convenient modification steps are not easily obtained. The most straightforward approach for calculating the derivatives is the finite difference method. There mainly exist three categories in the literature: the modal method, the direct method and the iterative method. Several methods for the computation of eigenvector derivatives is analyzed with emphasis on the iterative methods. C3 - Proceedings of the 6th International Congress of Serbian Society of Mechanics T1 - Iterative methods for eigensesnitivity analysis-a review IS - S6c UR - https://hdl.handle.net/21.15107/rcub_machinery_5985 ER -
@conference{ author = "Trišović, Nataša and Li, Wei and Sedmak, Aleksandar and Petrović, Ana and Mitrović, Radivoje and Stokić, Zoran", year = "2017", abstract = "The dynamic behavior of a structural system is characterized by its eigendata. The partial derivatives of eigenvalues and eigenvectors of mechanical system with respect to the design parameters have attracted extensive attention for the last four decades because of their various applications, such as optimal dynamic design, machinery failure diagnostic, parameter identification, model modification and automative control. A more general problem of structural dynamic analysis has three important aspects. Firstly, the observed physical structure is represented by initial finite element model. Modeling is based on numerous idealizing approximations within an exaggerated elaboration of details, which in essence does not significantly improve the accuracy of output data, especially having available powerful computers and appropriate software packages. Optimal alternative is to have the possibility of verifying outputted data that were measured on a prototype or real structure. Secondly, the dynamic characteristics of construction under reanalysis are analyzed. What is basically observed are eigenvalues and main forms of oscillations as characteristic variables that can invoke inadequate actual dynamic behavior. Thirdly, on the basis of the analysis of actual dynamic behavior, modification steps are proposed after which a modified model is obtained. Having in mind that mechanical structures are most often very complex, the most convenient modification steps are not easily obtained. The most straightforward approach for calculating the derivatives is the finite difference method. There mainly exist three categories in the literature: the modal method, the direct method and the iterative method. Several methods for the computation of eigenvector derivatives is analyzed with emphasis on the iterative methods.", journal = "Proceedings of the 6th International Congress of Serbian Society of Mechanics", title = "Iterative methods for eigensesnitivity analysis-a review", number = "S6c", url = "https://hdl.handle.net/21.15107/rcub_machinery_5985" }
Trišović, N., Li, W., Sedmak, A., Petrović, A., Mitrović, R.,& Stokić, Z.. (2017). Iterative methods for eigensesnitivity analysis-a review. in Proceedings of the 6th International Congress of Serbian Society of Mechanics(S6c). https://hdl.handle.net/21.15107/rcub_machinery_5985
Trišović N, Li W, Sedmak A, Petrović A, Mitrović R, Stokić Z. Iterative methods for eigensesnitivity analysis-a review. in Proceedings of the 6th International Congress of Serbian Society of Mechanics. 2017;(S6c). https://hdl.handle.net/21.15107/rcub_machinery_5985 .
Trišović, Nataša, Li, Wei, Sedmak, Aleksandar, Petrović, Ana, Mitrović, Radivoje, Stokić, Zoran, "Iterative methods for eigensesnitivity analysis-a review" in Proceedings of the 6th International Congress of Serbian Society of Mechanics, no. S6c (2017), https://hdl.handle.net/21.15107/rcub_machinery_5985 .