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  • ASME International  (2)
  • Chen, Guimin  (2)
  • Zhu, Weidong  (2)
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  • ASME International  (2)
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  • 1
    Online Resource
    Online Resource
    ASME International ; 2021
    In:  Journal of Computing and Information Science in Engineering Vol. 21, No. 6 ( 2021-12-01)
    In: Journal of Computing and Information Science in Engineering, ASME International, Vol. 21, No. 6 ( 2021-12-01)
    Abstract: Although energy-based methods have advantages over the Newtonian methods for kinetostatic modeling, the geometric nonlinearities inherent in deflections of compliant mechanisms preclude most of the energy-based theorems. Castigliano’s first theorem and the Crotti–Engesser theorem, which do not require the problem being solved to be linear, are selected to construct the energy-based kinetostatic modeling framework for compliant mechanisms in this work. Utilization of these two theorems requires explicitly formulating the strain energy in terms of deflections and the complementary strain energy in terms of loads, which are derived based on the beam constraint model. The kinetostatic modeling of two compliant mechanisms are provided to demonstrate the effectiveness of the explicit formulations in this framework derived from Castigliano’s first theorem and the Crotti–Engesser theorem.
    Type of Medium: Online Resource
    ISSN: 1530-9827 , 1944-7078
    Language: English
    Publisher: ASME International
    Publication Date: 2021
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  • 2
    Online Resource
    Online Resource
    ASME International ; 2019
    In:  Journal of Mechanisms and Robotics Vol. 11, No. 1 ( 2019-02-01)
    In: Journal of Mechanisms and Robotics, ASME International, Vol. 11, No. 1 ( 2019-02-01)
    Abstract: Understanding and analyzing large and nonlinear deflections are the major challenges of designing compliant mechanisms. Initially, curved beams can offer potential advantages to designers of compliant mechanisms and provide useful alternatives to initially straight beams. However, the literature on analysis and design using such beams is rather limited. This paper presents a general and accurate method for modeling large planar deflections of initially curved beams of uniform cross section, which can be easily adapted to curved beams of various shapes. This method discretizes a curved beam into a few elements and models each element as a circular-arc beam using the beam constraint model (BCM), which is termed as the chained BCM (CBCM). Two different discretization schemes are provided for the method, among which the equal discretization is suitable for circular-arc beams and the unequal discretization is for curved beams of other shapes. Compliant mechanisms utilizing initially curved beams of circular-arc, cosine and parabola shapes are modeled to demonstrate the effectiveness of CBCM for initially curved beams of various shapes. The method is also accurate enough to capture the relevant nonlinear load-deflection characteristics.
    Type of Medium: Online Resource
    ISSN: 1942-4302 , 1942-4310
    Language: English
    Publisher: ASME International
    Publication Date: 2019
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