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Singular configurations (singularities) are mechanism configurations where the instantaneous kinematics is locally undetermined.
The importance of finding singular configurations (singularities) of mechanisms has become clear since the interest of the scientific community for parallel architectures arose.
Second, singular configurations were defined and singularity curves were generated.
Their instantaneous kinematics and singularity analysis are addressed, too: all their singular configurations are identified through analytic and geometric conditions, whose static interpretation is given.
Singular configurations of five-axis machines have long been observed.
With the hybrid controller, the robot can work at the vicinity of singular configurations, but also can go through and stay at the singular configurations.
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In this case, the manipulator is at its singular configuration, and this kind of singularity is called the reverse singularity.
It is necessary to avoid the singular configuration of the snake robot to achieve trajectory tracking.
The variable increment size at each step is determined by evaluating whether the configuration is close to the singular configuration.
We indicate the conditions under which the robot becomes a singular configuration by analyzing the kinematic model, and design a trajectory tracking controller that can avoid the singular configuration using kinematic redundancy.
a Workspace, b Singular configuration I, c Singular configuration II, d P1 and P2 reach their minimum stroke, e P1 and P2 reach their maximum stroke, f Rotational range with t = −320 mm, g Rotational range with t = −240 mm.
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singular designs
singular patterns
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singular establishments
unusual configurations
unique configurations
singular settings
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distinctive configurations
singular formation
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singular set
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singular personalities
singular standards
singular parts
singular achievers
singular reactions
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