Modeling Large Deflections of Initially Curved Beams in Compliant Mechanisms Using Chained Beam Constraint Model

Chen, Guimin; Ma, Fengying; Hao, Guangbo; Zhu, Weidong

doi:10.1115/1.4041585

Cited by 114 publications

(26 citation statements)

References 30 publications

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“…Refs. [1,39] pointed out that in the topology optimization, only the compliance caused by the point force is considered, which is expressed as follows:…”

Section: Dual-objective Topology Optimization Mathematical Modelmentioning

confidence: 99%

“…Compliant mechanisms [1] are the new type of mechanisms which use the elastic deformation of flexure members to achieve the expected function. Compared with traditional rigid hinges, the flexure hinges for compliant mechanisms are widely used in micro-electro-mechanical system (MEMS) [2-4], medical equipment [5], aerospace engineering [6,7], precision instruments [8,9] and some parallel manipulator [10][11][12][13] due to their substantial advantages: frictionless, zero backlash, lightweight and compact.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Design and analysis of porous flexure hinge based on dual-objective topology optimization of three-dimensional continuum

Qiu

Yue

Zheng

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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This paper properly presents a dual-objective topology optimization mathematical model for compliance and precision performance of flexure hinges based on the three-dimensional continuum topology optimization. The OptiStruct module is applied to solving the problem. And through the post-processing design and parameterization of the results, a single-axis quasi-leaf porous flexure hinge (QLPFH) is generated. The dimensionless empirical equations of the stiffness and rotational center of the hinge are derived by finite element analysis, and the performance of the flexure hinge under different dimensionless parameters is analyzed. Comparing the QLPFH and the leaf flexure hinge (LFH) with the same external space dimensions, the results show that the translational stiffness of the LFH in the desired working direction and the rotational stiffness are much larger than those of the QLPFH. In addition, in the case of the stiffness of the QLPFH is greatly reduced, its precision performance has also been improved to a certain extent. The feasibility of dual-objective design method based on three-dimensional continuum topology optimization is further confirmed.

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“…Refs. [1,39] pointed out that in the topology optimization, only the compliance caused by the point force is considered, which is expressed as follows:…”

Section: Dual-objective Topology Optimization Mathematical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Design and analysis of porous flexure hinge based on dual-objective topology optimization of three-dimensional continuum

Qiu

Yue

Zheng

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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show abstract

“…20 Many researchers have investigated methods of beam modeling. G Chen et al 21 proposed a general and accurate method for modeling large planar deflections of initially curved beams of uniform cross-section. However, the releasing finger of clutch is a curved compliant mechanism in nature with varied cross-sections, which should be considered.…”

Section: Mathematical Model Of Load and Strainmentioning

confidence: 99%

A novel calibration mechanism and the corresponding test bench for automotive clutch releasing fingers: Design, implementation, and verification

Yan

Zhao

Quan

et al. 2019

Advances in Mechanical Engineering

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The clutch releasing finger acts as a disengagement lever and a clamping spring in the clutch, which remains in contact with the releasing bearing. Thus, the run-out of releasing fingers could result in vibrations of the clutch pedal and affect the comfort of the driver. In this article, a novel calibration mechanism is proposed for automotive clutch releasing fingers with the corresponding test bench. Based on the structural material properties, the mathematical model of the releasing fingers is developed as well as the analytical equations for the calibration force, the limit point, and the deflections. To better calibrate the run-out of the releasing fingers, the calculations of the springback and the residual curvature are also considered. Moreover, a corresponding test bench is developed, and to verify the accuracy and efficiency of the proposed method, comparisons are conducted between the novel approach and the theoretical analysis and finite element analysis methods. The results of the calibration of the run-out of the releasing fingers demonstrate the significant improvements achieved by the proposed method, which could be further applied to the calibration of various relevant elastic elements.

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“…For example, the study in [23] derived exact shape functions for a two-node uniform circular beam element with constant curvature; the study in [24] developed the two-node curved element and applied FE analysis of the curved beam structures. In order to enhance the efficiency and accuracy by decreasing the divided element number in initially curved beams with large deflections, the study in [25] introduced the scheme of the unequal discretization and applied for compliant mechanisms [26]. A major problem in the initial curved beam with great curvature change rate is the calculated strategy on the curvature of the C2 beam element with the lack of curvature information and then greatly affecting the accuracy in the analysis of the initially curved beam structures.…”

Section: Introductionmentioning

confidence: 99%

Improved Strategy of Two-Node Curved Beam Element Based on the Same Beam’s Nodes Information

Wang

2021

Advances in Materials Science and Engineering

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The curved beam with a great initial curvature is the typical structure and applied widely in real engineering structures. The common practice in the current literature employs two-node straight beam elements as the elementary members for stress and displacement analysis, which needs a large number of divisions to fit the curved beam shape well and increases computational time greatly. In this paper, we develop an improved accurate two-node curved beam element (IC2) in 3D problems, combining the curved Timoshenko beam theory and the curvature information calculated from the same beam curve. The strategy of calculating the curvature information from the same bean curve in the IC2 beam element and then transferring the curvature information to the two-node straight beam element can greatly enhance the accuracy of the mechanical analysis with no extra calculation burden. We then introduce the finite element implementation of the IC2 beam element and verify by the complex curved beam analysis. By comparison with simulation results from the straight two-node beam element in the MIDAS (S2-MIDAS) and the three-node curved beam element adopted in the ANSYS (C3-ANSYS), the simulation results of the typical quarter arc examples under constant or variable curvature show that the IC2 beam element based on curved beam theory is a combination of efficiency and accuracy. And, it is a good choice for analysis of complex engineering rod structure with large initial curvature.

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Modeling Large Deflections of Initially Curved Beams in Compliant Mechanisms Using Chained Beam Constraint Model

Cited by 114 publications

References 30 publications

Design and analysis of porous flexure hinge based on dual-objective topology optimization of three-dimensional continuum

Design and analysis of porous flexure hinge based on dual-objective topology optimization of three-dimensional continuum

A novel calibration mechanism and the corresponding test bench for automotive clutch releasing fingers: Design, implementation, and verification

Improved Strategy of Two-Node Curved Beam Element Based on the Same Beam’s Nodes Information

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