On Pole–zero Placement by Unit-Rank Modification

Prells, Uwe; Mottershead, John E.; Friswell, Michael I.

doi:10.1006/mssp.2002.1529

Cited by 13 publications

(3 citation statements)

References 20 publications

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“…In nodal control (e.g. Prells et al 2003) it is required that the mode shape of a vibrating system vanishes at a certain degree of freedom. The challenge is when the control applies to one part of the system and the required effect is in another part.…”

Section: Discussionmentioning

confidence: 99%

A constrained eigenvalue problem and nodal and modal control of vibrating systems

Ram

2009

Proc. R. Soc. A.

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A constrained non-homogeneous linear eigenvalue problem is introduced. The application given to the problem is of finding the frequency and amplitudes of exciting forces that impose constraints on the configurations of vibratory modes. The scope of the problem is wider. It is shown that the problem may be transformed to a singular unsymmetric generalized eigenvalue problem. Depending on the given data the problem may have finite, infinite or empty spectrum. The solvability of the problem is analysed. Examples demonstrate the application and the various results.

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Section: Discussionmentioning

confidence: 99%

A constrained eigenvalue problem and nodal and modal control of vibrating systems

Ram

2009

Proc. R. Soc. A.

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“…In structural modification applications, the results obtained from the finite element (FE) solution or when the FE model is difficult to form, the results obtained by the experimental modal analysis are used. In addition, FRFs are used directly in many studies [12][13][14][15][16]. FRFs can be obtained from numerical solutions or they can be obtained by measuring over physical structure in experimental applications.…”

Section: Figure 1 Point and Cross Frfs Of Six Degrees Of Freedom Mass...mentioning

confidence: 99%

“…Therefore, Equation 6given above can also be expressed with the active (response, excitation, and modification) coordinates only [29]. In this case, for a single mass modification, the following equation can be written for only the active p (response), q (excitation), and r (modification) coordinates for a specified element of the FRF matrix in the frequency range of interest of the modified system [13,14].…”

Section: Structural Modification Based On Sm Formulamentioning

confidence: 99%

FRF Based Structural Modification of a Mechanical System by Adding Masses and Utilizing the Grey Wolf Optimization Technique

ŞEN

Yiğid

Çakar

2023

Turkish Journal of Science and Technology

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Resonance and anti-resonance frequencies are important parameters that determine the dynamic behavior of mechanical systems. The change of these parameters, which depend on the physical properties of the system such as mass and stiffness, also changes the dynamic behavior of the system. Finding the necessary structural changes to adjust the resonance and anti-resonance frequencies of a system to the desired values is the subject of the inverse structural modification workspace. In this study, a method is presented for calculating the masses required to shift these frequencies to the desired values. The presented method uses the frequency response functions (FRFs) of the original system. For one modification an exact solution can be obtained and for two or more modifications some nonlinear equations have to be solved. For the solution of these nonlinear equations in this study, a meta-heuristic optimization technique grey wolf optimizer is used. The validity of the method was shown on a system of six degrees of freedom consisting of masses and springs and successful results were obtained. Also, it can be said it is very convenient for practical applications as the presented method uses the FRFs of the system directly.

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Beyond the Tuned Mass Damper: a Comparative Study of Passive Approaches to Vibration Absorption Through Antiresonance Assignment

Richiedei

Tamellin

Trevisani

2021

Arch Computat Methods Eng

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Vibration absorption is a core research area in the design and control of structures and machines, and exploiting antiresonances is an effective approach for systems under harmonic excitation. This paper proposes a comparative study and a review of the main passive techniques to antiresonance assignment proposed in the recent literature, by discussing them through some numerical examples too. The techniques discussed include the well-known Tuned Mass Damper, which has been widely developed in the literature. However, as the title reveals, great attention is paid to the methods inherited from the field of dynamic structural modification that assign antiresonances without modifying the number of degrees of freedom, by exploiting a proper modification of the system inertial and stiffness parameters. Due to higher mathematical complexity, these approaches have been less investigated in the literature although they are an effective and less invasive approach to antiresonance assignment, especially for machines. To puzzle out the complicated subject matter of antiresonances, their background and their key features are also discussed by reviewing the main theoretical results and their relationship with the assignment techniques. The paper is also enriched with several numerical examples to compare different methods and investigate the features of antiresonances. The concluding remarks of the paper bring together some open issues in this field of research and outlines some possible research directions.

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On Pole–zero Placement by Unit-Rank Modification

Cited by 13 publications

References 20 publications

A constrained eigenvalue problem and nodal and modal control of vibrating systems

A constrained eigenvalue problem and nodal and modal control of vibrating systems

FRF Based Structural Modification of a Mechanical System by Adding Masses and Utilizing the Grey Wolf Optimization Technique

Beyond the Tuned Mass Damper: a Comparative Study of Passive Approaches to Vibration Absorption Through Antiresonance Assignment

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