2017
DOI: 10.1016/j.mechmachtheory.2017.08.006
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A cable-pulley system modeling based position compensation control for a laparoscope surgical robot

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Cited by 49 publications
(17 citation statements)
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“…Equation is the modified Capstan equation containing the bending rigidity and nonlinear friction, which can accurately explain the viscoelastic deformation. The fourth‐order Runge–Kutta method is used to solve equation numerically, and obtain the ratio between the incoming tension and the outgoing tension. Assuming the cable is in full contact with the pulley under the preload, as shown in Figure , the boundary conditions are shown as follows:…”
Section: The Force Transmission Characteristics Of the Cable–pulley Smentioning
confidence: 99%
“…Equation is the modified Capstan equation containing the bending rigidity and nonlinear friction, which can accurately explain the viscoelastic deformation. The fourth‐order Runge–Kutta method is used to solve equation numerically, and obtain the ratio between the incoming tension and the outgoing tension. Assuming the cable is in full contact with the pulley under the preload, as shown in Figure , the boundary conditions are shown as follows:…”
Section: The Force Transmission Characteristics Of the Cable–pulley Smentioning
confidence: 99%
“…In our previous works [ 41 ], we build the model of cable-pulley system for the end-effector in surgical robot. The output torque of the end-effector is expressed by where, represents the motion direction of the graspers; represents anticlockwise and represents clockwise; are the parameters of the cable-pulley system which are expressed by ∼5) is the radius of pulleys; ∼5) is the length of the cable between adjacent pulleys; represents the ratio of incoming tension to outgoing tension; the input torque is calculated according to the tensions of cables.…”
Section: Estimation Of the Grasping Force Based On The Sensormentioning
confidence: 99%
“…According to the model of the cable-pulley system proposed in our previous work [ 41 ], the grasping force can be inferred and analyzed from the tension of cable. Combining the strain measurement characteristics of FBGs, we designed and evaluated a force sensor integrating six cantilever beams based on FBGs for our laparoscope surgical robot shown in Figure 1 .…”
Section: Introductionmentioning
confidence: 99%
“…In [ 1 , 28 , 31 ], the robotic arm and surgical instruments studied in this paper are introduced. The robotic arm carried a certain surgical instrument shown in Figure 3 .…”
Section: The Position Compensation Schemementioning
confidence: 99%
“…They formulated the governing equations based on the principle of virtual power with the reduction technique of DOFs, and the motions of each pulley and each segment of cable can be worked out by solving the dynamic equations. Xue et al [ 28 ] presented a tension and displacement transmission model of a cable-pulley system in the end-effector of a laparoscopic surgical robot. They assumed that the steel cable has elasticity and bending stiffness during the transmission process.…”
Section: Introductionmentioning
confidence: 99%