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• W4297088049 endingPage "109765" @default.
• W4297088049 startingPage "109765" @default.
• W4297088049 abstract "This study investigates the wave analysis and control of two-dimensionally (2D) connected ladder networks. These networks describe the out-of-plane vibration of 2D arrayed masses, according to the mechanical–electrical analogy. One typical correspondence to continuous systems is the out-of-plane vibration of membranes. In the analysis, the emphasis is on the properties of the secondary constants–propagation constants and characteristic impedances (admittances)–as analytic functions of the Laplace transform variable s. The system can be treated as a cascade connection of layers comprising the lateral direction elements, varying uniformly by a constant ratio along the longitudinal direction. In addition, the system dynamics can be described by a first-order recurrence relation in the Laplace transform domain. The characteristic polynomial defining the propagation constants can be defined independently of the layer position, even for the uniformly varying case. It can be decomposed into second-order polynomials characterized by a characteristic constant. We demonstrate that, above a threshold, all the constants are different and real, revealing several properties of the secondary constants and transformation matrix required for the wave analysis and control. These properties are also useful for a rational implementation of the impedance matching controller. Numerical examples illustrate the derived results and effectiveness in vibration control." @default.
• W4297088049 created "2022-09-27" @default.
• W4297088049 creator A5019027604 @default.
• W4297088049 creator A5074705465 @default.
• W4297088049 date "2023-02-01" @default.
• W4297088049 modified "2023-09-25" @default.
• W4297088049 title "Wave analysis and control of uniformly varying two-dimensional ladder-network structures" @default.
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• W4297088049 doi "https://doi.org/10.1016/j.ymssp.2022.109765" @default.
• W4297088049 hasPublicationYear "2023" @default.
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