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Rapid Conceptual Design and Analysis of Planar and Spatial Compliant Mechanisms

Turkkan, Omer Anil
http://rave.ohiolink.edu/etdc/view?acc_num=osu1512739490296851

Abstract Details

2018, Doctor of Philosophy, Ohio State University, Mechanical Engineering.
Compliant mechanisms utilize the deformation of the elastic members to achieve the desired motion. Currently, design and analysis of compliant mechanisms rely on several commercial dynamics and finite element simulation tools. However, these tools do not implement the most recently developed theories in compliant mechanism research. In the past decades, numerous mechanics models and mathematical formulations have been developed for kinetostatic analysis of compliant mechanisms. However, it is rather tedious and error-prone to derive analysis equations based on these models. In this work, a general kinetostatic analysis framework for planar compliant mechanisms in which 2D beams can be represented by multiple segments of three commonly used models: beam-constraint-model (BCM), linear Euler-Bernoulli beam and pseudo-rigid-body models (PRBM) is presented. The framework is developed such that any beam model with a closed-form energy equation can be integrated without the deep understanding of the proposed scheme. The static equilibrium equations are automatically derived based on kinematic vector loop and solved based on minimization of total potential energy. Since the PRBM only returns the tip deflection, a procedure for calculating strain energy, actual beam shape and bending stresses from the tip deflection are developed. This framework has been implemented DAS2D, an open-source object oriented software. Flexure mechanisms are the central part of precision instruments and devices for numerous science and engineering applications. Currently, design of flexure mechanisms often heavily relies on finite element modeling. However the modeling complexity and low computational efficiency make it not suitable for the early design stage when many concepts need to be evaluated in a short period of time. To reduce the overhead in the conceptual design stage,a multi-segment energy minimization framework that integrates linear elastic theory for kinetostatic analysis of spatial flexure mechanisms is presented in this work. Compliance matrices for commonly used flexure elements are presented and their accuracy was studied and verified in details. While deformation of each individual segment depends on the linear elastic theory, the multi-segment model allows accurate calculation of large deformations with a high computational efficiency. To facilitate modeling of spatial flexure mechanisms, a rich Graphical User Interface (DAS3D) in MATLAB environment is implemented. The proposed framework and software tool are tested with spatial mechanisms in which nonlinear kinematic constraints and combined loading are present. The examples showed that the proposed multi-segment framework can accurately capture large kinematic motion under complex loading.
Hai-Jun Su (Advisor)
Carlos Castro (Committee Member)
Anthony Luscher (Committee Member)
Mo-How Shen (Committee Member)
153 p.
Mechanical Engineering
mechanism design; complaint mechanism; static analysis; energy methods

Recommended Citations

Citations

  • Turkkan, O. A. (2018). Rapid Conceptual Design and Analysis of Planar and Spatial Compliant Mechanisms [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1512739490296851

    APA Style (7th edition)

  • Turkkan, Omer. Rapid Conceptual Design and Analysis of Planar and Spatial Compliant Mechanisms. 2018. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1512739490296851.

    MLA Style (8th edition)

  • Turkkan, Omer. "Rapid Conceptual Design and Analysis of Planar and Spatial Compliant Mechanisms." Doctoral dissertation, Ohio State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=osu1512739490296851

    Chicago Manual of Style (17th edition)

osu1512739490296851
497
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This open access ETD is published by The Ohio State University and OhioLINK.