Design analysis and type synthesis of a petal-inspired space deployable-foldable mechanism

Wang, Rugui; Sun, Jiaxing; Dai, Jian S.

doi:10.1016/j.mechmachtheory.2019.07.005

Cited by 44 publications

(8 citation statements)

References 27 publications

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“…Here, symbol represents the sideways extension of veins along the margin, and is defined as the combination of the doubleleaf line-line coupled LH structure and the extended arc-veins. The ring-ring coupled doubled-veined leaf-shaped LH structure can then be expressed by formula as follows: ( 4 ) From the perspective of topology, there are no essential changes made to the structure when the veins are extended sideways. So, the overall LH characteristics will mostly remain the same.…”

Section: Analysis Of Leaf-shaped Lh Structures Based On Electromagnetic Topology Setsmentioning

confidence: 99%

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A Double-Veined Leaf-Shaped Bionic Meta-Element and Array Loading Antennas for Radiation Beam Control

You

et al. 2021

IEEE Access

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Based on bionics, we design and analyze the left-handed (LH) characteristics of metaelements with leaf-shaped structure. The double negative (DNG) frequency band of the initial leaf-shaped LH structure is 5.77-6.17 GHz with a fractional bandwidth of 6.7%. Inspired by two overlapping leaves, and based on topology, we evolve the leaf-shaped LH structure into a line-line coupled double-leaf LH structure. The DNG frequency bands of the line-line coupled LH structure are 2.96-3.86 GHz and 4.14-4.18 GHz. This structure not only retains some of the radiation and reflection properties of the initial design, but also gains new electromagnetic characteristics (an additional DNG frequency band). Finally, the line-line coupled LH structure is further evolved, through mostly homeomorphic deformation, into a ring-ring coupled doubleveined leaf-shaped LH structure. The DNG frequency bands are 3.05-3.81 GHz and 5.31-5.41 GHz, and the fractional bandwidth are 22.2% and 1.9%, respectively. The arc-vein branches form parallel ring-ring coupling with the margin, affecting the structure's impedance and capacitance. Similar to the line-line coupling, it can locally stretch the electromagnetic characteristics, expanding the corresponding DNG bandwidth. Through the establishment of electromagnetic topological set, we classify and analyze the topological transformation and the corresponding changes in electromagnetic characteristics. We then use formula to express the process of topological transformation intuitively. Finally, the ring-ring coupled LH structure is loaded on a microstrip antenna in several different ways, improving the antenna's radiation properties, including bandwidth, directivity, and gain. INDEX TERMS Array loading microstrip antennas, bionics, electromagnetic topological set, left-handed materials, radiation beam control, topological transformation.JINGLIN YOU received the B.S. degree in applied physics from Beihang University (BUAA), Beijing, China, in 2013. He is currently working as education and research assistant at

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Section: Analysis Of Leaf-shaped Lh Structures Based On Electromagnetic Topology Setsmentioning

confidence: 99%

“…In [3] the Bionic Antenna Array (BAA) sensor for identifying noncontact motion was proposed. In [4] a petal-inspired deployable-foldable mechanism for space applications was proposed based on features common to the flower blooming process. In [5] a real-time stereo vision SLAM system based on bionic eyes was presented.…”

Section: Introductionmentioning

confidence: 99%

A Double-Veined Leaf-Shaped Bionic Meta-Element and Array Loading Antennas for Radiation Beam Control

You

et al. 2021

IEEE Access

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“…Li et al [16] extended the method to the kinematic analysis and derived the closed-solution of inverse kinematics for serial mechanisms. Dai et al [17,18] combined screw theory with Lie group algebra and summarized the related knowledge according to its relation with mechanisms. Huang et al [19] presented a systematic approach for the kinematic calibration of a 6-DOF hybrid polishing robot and formulated the linearized error model based on screw theory.…”

Section: •3•mentioning

confidence: 99%

Generalized Kinematics Analysis of Hybrid Mechanisms Based on Screw Theory and Lie Groups Lie Algebras

Sun

Chen

et al. 2020

Preprint

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The advanced mathematical tools are used to conduct research on the kinematics analysis of hybrid mechanisms, and the generalized analysis method and concise kinematics transfer matrix are obtained. First, according to the kinematics analysis of serial mechanisms, the basic principles of Lie groups Lie algebras in dealing with the spatial switching and differential operations of screw vectors are briefly explained. Then, based on the standard ideas of Lie operations, the method for kinematics analysis of parallel mechanisms is derived, and Jacobian matrix and Hessian matrix are formulated both recursively and in closed form. After that, according to the mapping relationship between the parallel joints and the corresponding equivalent series joints, a forward kinematics analysis method and two inverse kinematics analysis methods of hybrid mechanisms are studied. A case study is performed to verify the calculated matrices, in which a humanoid hybrid robotic arm with the parallel-series-parallel configuration is taken as an example. Simulation experiment results show that the obtained formulas are exact and the proposed method for kinematics analysis of hybrid mechanisms is practicable.

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“…Parallel manipulators with configurable platforms, a kind of metamorphic or deployable manipulator [18][19][20][21][22], are a highly reliable option to improve the kinematic performance of parallel manipulators provided with rigid moving platforms due to the virtue of being able to modify the contour of the moving platform [23][24][25]. It seems that the first contribution proposing a configurable platform is credited to Yi et al [26] who, at the beginning of the 21st century, introduced a robot with a configurable platform for grasping operations.…”

Section: Introductionmentioning

confidence: 99%

Kinematics of a Schönflies-Motion Generator Parallel Manipulator with Moving Configurable Platform

Gallardo-Alvarado

Garcia-Murillo

Rodríguez-Castro

et al. 2022

Mathematical Problems in Engineering

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In this work, a parallel manipulator equipped with a moving configurable platform able to perform the Schönflies motion is introduced. The versatility of the robot is such that it is possible to attach to the configurable platform one end-effector endowed with a redundant decoupled rotation or two end-effectors in two opposite corners of the moving configurable platform. The mobility of the robot is explained by means of the theory of screws while the displacement analysis is approached by means of conventional vectorial algebra. In that concern, the forward position analysis leads to five quadratic equations which are solved by applying the homotopy continuation method. Afterwards, the velocity and acceleration analyses of the robot are approached by resorting to the theory of screws. Numerical examples are included with the purpose of validate the reliability of the method of kinematic analysis employed in the contribution.

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Design analysis and type synthesis of a petal-inspired space deployable-foldable mechanism

Cited by 44 publications

References 27 publications

A Double-Veined Leaf-Shaped Bionic Meta-Element and Array Loading Antennas for Radiation Beam Control

A Double-Veined Leaf-Shaped Bionic Meta-Element and Array Loading Antennas for Radiation Beam Control

Generalized Kinematics Analysis of Hybrid Mechanisms Based on Screw Theory and Lie Groups Lie Algebras

Kinematics of a Schönflies-Motion Generator Parallel Manipulator with Moving Configurable Platform

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