Introduction of control points in B-splines for synthesis of ping finite optimized cam motion program

Naskar, Tarun Kanti; Mishra, Ruby

doi:10.1007/s12206-011-1004-9

Cited by 17 publications

(7 citation statements)

References 6 publications

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“…A fractional polynomial function (Acharyya and Naskar, 2008) is introduced to yield a modified trapezoid curve with lower acceleration and jerk functions. Mandal and Naskar (2009) discuss the effect of introducing a control point in a B-spline synthesis of the cam motion program and verify their theoretical prediction experimentally (Naskar and Mandal, 2012). Sateesh et al (2009) focus on the design of velocity function represented by a 3rd degree B-spline polynomial with six control points.…”

Section: Introductionmentioning

confidence: 94%

Synthesis of trigonometric motion programs with lower motion characteristics

Hsu

2022

Mech. Sci.

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Abstract. Motion characteristics are dimensionless peak values of velocity, acceleration, jerk, and acceleration multiplied by velocity of a motion program. In general, these peak values of synthesized motion programs should be as low as possible. Some trigonometric motion programs are widely used because they have a good compromise of all motion characteristics. A property in common for trigonometric motion programs is that their acceleration functions can be expressed as a qualitative shape of a sinusoidal function. The interval of the sinusoidal function is divided into several zones having different linear slopes. The acceleration function can be easily shaped by specifying presented phase angle function to synthesize desired motion programs. To improve the kinematic quantities of trigonometric motion programs, this paper addresses an alternative phase angle function to obtain synthesized motion programs with simultaneous reduction in all the motion characteristics. The synthesis process and results are illustrated by examples.

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Section: Introductionmentioning

confidence: 94%

Synthesis of trigonometric motion programs with lower motion characteristics

Hsu

2022

Mech. Sci.

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“…With its prospective function and convergence algorithm of speed, the high-end CNC system has solved many problems about the convergence speed of curve fitting with tiny line segments, but satisfactory speed stability and smoothness are still difficult to establish [13,14]. Due to the limits of dynamic parameter including speed, acceleration and jerk [15,16], the output pulses by interpolation have relationships not only with the command value L n , but also with the limit parameters of V max , A max and surface structure, expressed by the Eq.…”

Section: Calculation Surface Velocity In Flank Milling the "S" Specimenmentioning

confidence: 99%

Modeling errors forming abnormal tool marks on a twisted ruled surface in flank milling of the five-axis CNC

et al. 2014

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The complex surface machining quality is related to the capacity of the control system, servo drive and mechanical transmission in five-axis CNC machining. The unsuitable parameters result in surface contour errors and other processing abnormal phenomena such as tool marks and corrugated surface. In this paper a twisted ruled surface in flank milling is analyzed. The construction features of surface and the tool path characteristic of the specimen are listed. The surface cutting velocity is deduced considering the constraints of the acceleration, jerk and other control parameters and the smoothness is modeled. The individual tracking error acquired from servo feed system model is converted to the contour error by homogeneous transformation matrix and Frenet frame, and abnormal tool marks in flank milling are suggested. The cutting experiments conform to simulation; the effect of the dynamic indicators of the CNC machine tool is explored by the abnormal marks on the machined parts. This approach provides a support for designing specimens and investigating machine tool dynamics performance in working accuracy test.

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“…Except for linear and arc, almost all curves to be extended for CAD softwares are generally splines, of which the shapes are controlled by several feature points [6]. Using trend extrapolation, we can choose a suitable curve-model for a non-circular curve according to the changing trend of the feature points, and extend it following the trend under the character of continuity.…”

Section: Multinomial Extension-modelsmentioning

confidence: 99%