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Optimal Design of Bridge Amplifiers for Large-Range Linear Characteristics

Lavanya, SB and Jayanth, GR and Mohanty, AK (2023) Optimal Design of Bridge Amplifiers for Large-Range Linear Characteristics. In: UNSPECIFIED, pp. 721-730.

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Official URL: https://doi.org/10.1007/978-3-031-45705-0_70


Conventional bridge amplifiers exhibit a highly nonlinear input-output relationship. This paper proposes the optimal design of bridge amplifiers for achieving linear characteristics over a large range. A lumped-parameter model compatible with various amplifier designs is first proposed and subsequently used to analyze the large-displacement behavior of bridge amplifiers. The analysis reveals two novel facts: first, the value of the optimal tilt angle and the corresponding maximum amplification ratio are different from that obtained from the small-displacement analysis. Second, the input force requirement is higher when the amplifier experiences tension during actuation compared to compression. The analytical results are validated by means of finite element analysis. Subsequently, the Nelder-Mead algorithm is employed to optimize the input-output characteristics so that the percentage error between the actual and linear trends exhibits equi-ripple characteristics. For amplification of 15 and an output range of 4.5 of the amplifier�s length, the percentage error of the resulting optimized amplifier is within 6, representing a 9.5-fold improvement compared to a conventional amplifier. The percentage error is also shown to scale as the square of the output range. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2023.

Item Type: Conference Paper
Publication: Mechanisms and Machine Science
Publisher: Springer Science and Business Media B.V.
Additional Information: The copyright for this article belongs to Springer Science and Business Media B.V.
Keywords: Bridges; Errors; Nonlinear programming, Bridge amplifiers; Input-output; Large displacement analysis; Linear characteristics; Lumped parameter modelling; Non-linear optimization; Nonlinear inputs; Optimal design; Output range; Percentage error, Optimal systems
Department/Centre: Division of Physical & Mathematical Sciences > Instrumentation Appiled Physics
Date Deposited: 04 Mar 2024 09:28
Last Modified: 04 Mar 2024 09:28
URI: https://eprints.iisc.ac.in/id/eprint/84309

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