Type synthesis of the rotational decoupled parallel mechanism based on screw theory

Zeng, Daxing; Huang, Zhen

doi:10.1007/s11431-010-4239-2

Cited by 36 publications

(25 citation statements)

References 27 publications

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“…To break through the limitations of conventional milling dynamic model for prediction of the geometric accuracy of machined surfaces, we should fuse the process dynamics with the multi-physics model [74][75][76][77], developing efficient numerical methods to explore the macro/micro performance of machined surfaces with respect to process parameters. (4) The last one is to fuse the dynamics model with some advanced machine tool control strategies [78][79][80][81][82][83][84][85][86][87][88] for high performance control ensuring high performance machining. …”

Section: Discussionmentioning

confidence: 99%

On time-domain methods for milling stability analysis

Ding

Zhu

2012

Chin. Sci. Bull.

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As a basic and advanced machining technique, the high-speed milling process plays an important role in realizing the goal of high performance manufacturing. From the viewpoint of machining dynamics, obtaining chatter-free machining parameters is a prerequisite to guaranteeing machining accuracy and improving machining efficiency. This paper gives an overview on recent progress in time domain semi-analytical methods for chatter stability analysis of milling processes. The state of art methods of milling stability prediction in milling processes and their applications are introduced in detail. The bottlenecks involved are analyzed, and potential solutions are discussed. Finally, a brief prospect on future works is presented. High speed milling is widely utilized in manufacturing of complex surfaces for the fields of aerospace, ship, automotive, dies and molds etc., due to its advantage of obtaining high machining accuracy and high material removal rate with keeping low-amplitude cutting forces. Regarding to modeling of machining processes, the research topics on high speed milling can be categorized as: tool path planning, machining dynamics and machining physical modeling. Tool path planning is to plan the tool path according to the workpiece model, machining strategy and required machined error [1][2][3][4][5]. From the viewpoint of machining dynamics, the relative vibration between the workpiece and cutter in the milling process is the main reason of reducing product surface quality and limiting the production efficiency. To suppress the vibration impact by optimizing the machining parameters, the following two questions need to be addressed.(1) Stability analysis based on the dynamics of milling processes. As far as chatter vibrations are concerned, there are four different mechanisms: regeneration [6], mode coupling [7], friction [8] and thermo-mechanics of chip formation [9]. In milling processes, regenerative chatter is the most common form of self-excited vibration to reduce surface quality and machining efficiency [10,11]. The works on analysis of the stability of milling processes focus on calculating the stability boundary of the machining parameters based on the dynamic models characterizing the milling processes.(2) Machining accuracy analysis on the basis of stability analysis. Due to forced vibrations in milling processes, chatter-free machining parameters cannot ensure high performance machining. Vibration-induced surface errors can be classified as surface location error (SLE) [12] and surface roughness [13]. It is essential to take the stability and dynamical errors into account in machining optimization models to achieve high performance milling.

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Section: Discussionmentioning

confidence: 99%

On time-domain methods for milling stability analysis

Ding

Zhu

2012

Chin. Sci. Bull.

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“…The rotation of the MP depends on driving pair 11 , and the translations of the MP depend on driving pairs 21 and 31 . The configuration is decoupled.…”

Section: Type Synthesis Of 2t1r Dpmsmentioning

confidence: 99%

“…In Figure 6(a), the rotation of the MP depends on driving pair 11 , and the translations of the MP depend on Figure 4: Spatial 2T1R DPMs. Similarly, the driving pair is installed in the fixed platform.…”

Section: Type Synthesis Of 2t1r Dpmsmentioning

confidence: 99%

Type Synthesis of 2T1R Decoupled Parallel Mechanisms Based on Lie Groups and Screw Theory

Bai

2017

Mathematical Problems in Engineering

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Decoupled parallel mechanisms (DPMs) have the characteristics of compact structure and simple control with wide applications. This paper presents a new method of type synthesis for DPMs by virtue of Lie groups and screw theory. The method consists of synthesis at limb level and configuration level. At limb level, Lie group is used to synthesize the limbs with required DOFs. At configuration level, screw theory is adopted to determine configuration with synthesized limbs that satisfy the type synthesis criteria of DPMs. The type synthesis criteria including limb decoupling and selection of the driving pairs are presented. Upon the formulation, the procedure of type synthesis of DPMs is developed. Type synthesis is conducted with the proposed method, which leads to new spatial and planar fully decoupled 2T1R mechanisms.

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“…According to the criterion for type synthesis of the branches which is established in literature [10], we can get the first branch through the linear combination for the standard basis of the twist screw system. Such branches are listed in Table I. translational movements can be introduced from other branches, and the twist screws of those translational movements introduced are called accompanying movement screw.…”

Section: mentioning

confidence: 99%

“…According to the expected DoFs of the mechanism M (2, 2R YZ ) and the RCs that are summarized in literature [10], the type of the second branch can be determined as follows…”

Section: mentioning

confidence: 99%

Design and analysis of a novel 2-DoF rotational decoupled adjusting parallel mechanism

Zeng

Zhang

et al. 2013

2013 11th IEEE International Conference on Industrial Informatics (INDIN)

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In recent years, the study on novel type parallel mechanisms with less degrees of freedom (DoFs) has attracted the attention of many scholars at home and abroad. In this field, type synthesis of parallel mechanisms which can realize decoupling is a frontier subject. To this end, based on the rotational conditions (RCs) presented in our pre-paper, this paper introduces the concept of accompanying movement screw and the synthesis rule of limbs for rotational decoupled parallel mechanisms. According to the above-mentioned workings, a family of 2-DoF rotational decoupled adjusting parallel mechanisms (RDAPMs) is performed based on the screw theory. Moreover, taking a parallel mechanism only with revolute pairs and prismatic pairs as an example, the motion feature of which is analyzed with the constraint screw method, and then its mobility is calculated using the Modified Kutzbach-Grübler criterion. Furthermore, the forward and inverse displacement problems of the proposed manipulator are solved. Finally the kinematic simulation is completed using the ADAMS, which can validate the correctness of the calculation of the DoF, the ability of successive rotation and its movement decoupling.

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Type synthesis of the rotational decoupled parallel mechanism based on screw theory

Cited by 36 publications

References 27 publications

On time-domain methods for milling stability analysis

On time-domain methods for milling stability analysis

Type Synthesis of 2T1R Decoupled Parallel Mechanisms Based on Lie Groups and Screw Theory

Design and analysis of a novel 2-DoF rotational decoupled adjusting parallel mechanism

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