“…Furthermore, the assembly errors, the stiffness of the base, the deformation, and the load on the stage also influenced the effect. This issue has attracted the attention of many scholars around the world, who have conducted extensive research and achieved many valuable results [4][5][6][7].…”
Section: Cognition About Motion Errors Of Linear Guide Pairmentioning
This paper systematically summarized the technical state of art and research results on the motion error of a linear guideway, corrected some misconceptions, and further clarified the relationship between the straightness error of the guide rail itself and the motion error of the linear stage. Moreover, a new method based on parallel mechanism is provided to study the motion errors of the linear guide pair. The basic idea is to abstract the structural relationship between the stage and the guide rail into a 4-bar parallel mechanism. Thus, the stage can be considered as a moving platform in the parallel mechanism. Its motion error analysis is also transferred to moving platform position analysis in the parallel mechanism. The straightness motion error and angular motion error of the stage can be analyzed simultaneously by using the theory of parallel mechanism. Some experiments were conducted on the linear guideway of a self-developed parallel coordinate measuring machine. The experimental data and analysis verify the feasibility and correctness of this method.
“…Furthermore, the assembly errors, the stiffness of the base, the deformation, and the load on the stage also influenced the effect. This issue has attracted the attention of many scholars around the world, who have conducted extensive research and achieved many valuable results [4][5][6][7].…”
Section: Cognition About Motion Errors Of Linear Guide Pairmentioning
This paper systematically summarized the technical state of art and research results on the motion error of a linear guideway, corrected some misconceptions, and further clarified the relationship between the straightness error of the guide rail itself and the motion error of the linear stage. Moreover, a new method based on parallel mechanism is provided to study the motion errors of the linear guide pair. The basic idea is to abstract the structural relationship between the stage and the guide rail into a 4-bar parallel mechanism. Thus, the stage can be considered as a moving platform in the parallel mechanism. Its motion error analysis is also transferred to moving platform position analysis in the parallel mechanism. The straightness motion error and angular motion error of the stage can be analyzed simultaneously by using the theory of parallel mechanism. Some experiments were conducted on the linear guideway of a self-developed parallel coordinate measuring machine. The experimental data and analysis verify the feasibility and correctness of this method.
“…10 Zou and Wang 11 studied the contact stiffness variation of LRGs due to the effects of friction and wear during operation and established initial and final contact stiffness models. Rahmani and Bleicher 12,13 conducted experiments to investigate the contact stiffness of linear guideways in the normal, tangential, and angular directions. However, they did not present theoretical equations for the linear guideway stiffnesses in the various directions.…”
Linear rolling guideways have been widely used in machine tools. The overall performance of machine tools is directly influenced by the linear rolling guideway characteristics. In this study, a contact model for a single ball–raceway joint surface is established based on the fundamental characteristic parameters of the joint surface, which are obtained experimentally. Based on this model, a novel full-load analysis model of the linear rolling guideway joint is proposed, and six linear rolling guideway-joint stiffness types, namely the tangential, normal compressive, and normal tensile stiffnesses and the pitch, yaw, and roll angular stiffnesses, are obtained. Testing devices are developed for the six stiffness types. The stiffnesses of the medium preloaded HJG-DA35AA, HJG-DA45AA, and HJG-DA55AA linear rolling guideways are achieved using the developed testing devices, and the results obtained from the full-load analysis model are approximately consistent with the experimental results.
“…Linear guideways enable precise linear motion of machines and they have been widely adopted in many applications requiring high speed, heavy load and accurate positioning such as machine tools [1], [2]. Straightening of linear guideways is critical and can be challenging.…”
This paper presents a variable span multistep straightening process (VSMSP) to improve straightening accuracy and reduce the number of straightening steps for the multistep straightening of long linear guideways. It can also efficiently deal with the ineffectiveness caused by the single-step straightening process. The VSMSP adopts a sequence of three-point straightening processes with variable spans at different straightening positions. The paper presents the modeling of the behaviors of linear guideways in a straightening step and explains the use of the model to calculate the variables of the VSMSP. Key variables including span size, straightening position and straightening moment and stoke are optimized. The VSMSP and the model are validated experimentally on a straightening machine.
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