A planetary reducer contains: a sun gear rod, a gear assembly, a first external gear, and a second external gear. The sun gear rod includes an extension and a toothed section. The gear assembly includes a post, a first planetary gear, and a second planetary gear. Some of multiple teeth of the first planetary gear and some of multiple teeth of the second planetary gear expose outside the post. A number of the multiple teeth of the first planetary gear is different from a number of the multiple teeth of the second planetary gear. The first external gear includes a first surrounding portion and a first toothed portion which meshes with the first planetary gear. The second external gear includes a second surrounding portion and a second toothed portion which meshes with the second planetary gear.

Methods and systems for a locking differential are provided. The locking differential system includes an electromagnetic solenoid actuator configured to induce locking and unlocking of the differential and a circuit board assembly designed to programmatically control the locking and unlocking functionality. The circuit board assembly includes a multi-sensor sub-assembly having two or more sensor configured to monitor a position of the electromagnetic solenoid actuator.

A vehicle includes an engine, a continuously variable transmission including an endless belt to output a power from the engine, and a transmission to which the power from the continuously variable transmission is transmitted. If the vehicle travel speed is not smaller than a first threshold value and an accelerator opening degree is not smaller than a second threshold value, a controller determines that the continuously variable transmission is being used in a belt high-load situation. If a travel distance in the belt high-load situation is not smaller than a third threshold value, the controller determines that the endless belt is deteriorated or deterioration thereof is in an advanced stage, and a deterioration message about the endless belt is displayed on a display based on an instruction from the controller. A situation in which a speed changing ratio of the continuously variable transmission is not greater than a fourth threshold value may be determined as the belt high-load situation.

A method for identifying a critical error of a worm gear machine, step 1: obtaining an actual forward kinematic model T.sub.27.sup.a and an ideal forward kinematic model T.sub.27.sup.i from a coordinate system of a worm gear hob to a coordinate system of a worm gear, thereby establishing a geometric error-pose error model of the worm gear machine; step 2: regarding the geometric error-pose error model of the worm gear machine as a multi-input multi-output (MIMO) nonlinear system, and solving, by taking the geometric error of each motion axis of the worm gear machine as an input feature X, and a pose error between the worm gear hob and the worm gear as an output variable Y, an importance coefficient of each input feature with a random forest algorithm; and step 3: determining a critical error affecting a machining accuracy of the worm gear machine.

A method for identifying a critical error of a worm gear machine, step 1: obtaining an actual forward kinematic model T.sub.27.sup.a and an ideal forward kinematic model T.sub.27.sup.i from a coordinate system of a worm gear hob to a coordinate system of a worm gear, thereby establishing a geometric error-pose error model of the worm gear machine; step 2: regarding the geometric error-pose error model of the worm gear machine as a multi-input multi-output (MIMO) nonlinear system, and solving, by taking the geometric error of each motion axis of the worm gear machine as an input feature X, and a pose error between the worm gear hob and the worm gear as an output variable Y, an importance coefficient of each input feature with a random forest algorithm; and step 3: determining a critical error affecting a machining accuracy of the worm gear machine.

A clutch includes a clutch disk that rotates by receiving motive power from an engine and a clutch plate switched between an engaged state in which it is engaged with the clutch disk and a disengaged state in which it is not engaged with the clutch disk. A controller calculates a coefficient of friction μ between the clutch disk and the clutch plate based on a time period Δt elapsed from a first time point when the number of relative rotations of the clutch disk and the clutch plate attains to a first number of rotations to a second time point when a second number of rotations smaller than the first number of rotations is attained, in a state in which the clutch disk rotates while transfer of motive power from the engine to the clutch disk is cut off and in the engaged state.

A clutch includes a clutch disk that rotates by receiving motive power from an engine and a clutch plate switched between an engaged state in which it is engaged with the clutch disk and a disengaged state in which it is not engaged with the clutch disk. A controller calculates a coefficient of friction μ between the clutch disk and the clutch plate based on a time period Δt elapsed from a first time point when the number of relative rotations of the clutch disk and the clutch plate attains to a first number of rotations to a second time point when a second number of rotations smaller than the first number of rotations is attained, in a state in which the clutch disk rotates while transfer of motive power from the engine to the clutch disk is cut off and in the engaged state.

A linear transmission device includes a screw, a moving member, a return element, and a sensor. The moving member is set in the screw to form a load path therebetween. The return element is set in the moving member and has a return path connected to the load path. The return path and the load path constitute a circulating path for balls to run. The moving member has an internal thread with an ineffective thread section. The moving member has a receiving groove adjacent to the ineffective thread section. The sensor is embedded in the receiving groove of the moving member without affecting the operation of the balls. Thus, the linear transmission device of the present invention can solve the problem of the sensor protruding from the moving member, so that the configuration of the surrounding space and the stroke of the moving member will not be affected.

A linear transmission device includes a screw, a moving member, a return element, and a sensor. The moving member is set in the screw to form a load path therebetween. The return element is set in the moving member and has a return path connected to the load path. The return path and the load path constitute a circulating path for balls to run. The moving member has an internal thread with an ineffective thread section. The moving member has a receiving groove adjacent to the ineffective thread section. The sensor is embedded in the receiving groove of the moving member without affecting the operation of the balls. Thus, the linear transmission device of the present invention can solve the problem of the sensor protruding from the moving member, so that the configuration of the surrounding space and the stroke of the moving member will not be affected.

A drive transmission device is provided with a drive pulley driven by a motor, a driven pulley in which a bulging part crowned in a shape bulging outward in the radial direction is formed over the entire circumference of the outer peripheral surface, a belt wound around the drive pulley and the driven pulley, and a first measurement unit for measuring rotation unevenness of the drive pulley. The drive pulley has a uniform diameter in the axial direction which is a smaller diameter than that of the driven pulley. The belt is bent and deformed along the bulging part of the driven pulley so that the axial center portion is expanded outward the axial end portion. The axial end of the belt contacts the outer peripheral surface of the drive pulley, but does not contact the outer peripheral surface of the driven pulley.