Algorithms for Robust Pole Assignment in Singular Systems

Kautský, Jaroslav; Nichols, Nancy K.

doi:10.23919/acc.1986.4788980

Cited by 3 publications

(1 citation statement)

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“…In the early research on the assignment of natural frequencies and mode shapes, most are summarized as system-characteristic structural assignment problems. Syrmos et al [8,9] studied these problems and presented numerical solutions. Gobb and Liebst [10] considered the application of the eigenstructural assignments of the undamped structural system in mechanics.…”

Section: Introductionmentioning

confidence: 99%

Assignment of Natural Frequencies and Mode Shapes Based on FRFs

Ren

Cao

2021

Aerospace

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This paper proposes a method of structural modification for the assignment of natural frequencies and mode shapes based on frequency response functions (FRFs). The method involves the addition of masses or stiffness (supporting stiffness or connection stiffness), the simultaneous addition of masses and stiffness, or the addition of mass-spring substructures to the original structure. Firstly, the proposed technique was formulated as an optimization problem based on the FRFs of the original structure and the masses or stiffness that needed to be added. Next, the required added masses and stiffness were obtained by solving the optimization problem using a genetic algorithm. Finally, numerical verification was performed for the different structural modification schemes. The results show that, compared to only adding either stiffness or masses, adding both simultaneously or adding spring-mass substructures obtained better optimization results. The advantage of this FRFs-based method is that the FRFs can be directly measured by modal testing, without knowledge of analytical or modal models. Furthermore, multiple structural modifications were considered in the assignment of natural frequencies and mode shapes, making the application of this method more applicable to engineering.

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Section: Introductionmentioning

confidence: 99%