“…Thus, the load angle α j , tooth thickness h L , tooth thickness h f at the peak position of the tooth root stress, and height l f can be obtained according to equations 19-22. f L , α L , R L , h o , and l o are given from equation (23) to equation (27). The other parameters of equation (23) to equation ( 27) can be obtained according to equation (28).…”
“…He et al 27 proposed a numerical model of intersecting bevel gears to evaluate the dynamic stress distribution and dynamic transmission error, and they calculated the dynamic contact characteristics of involute and non-involute bevel gears using the three-dimensional dynamic contact finite element method. Zhou et al 28 developed a gear test bench that can wirelessly measure the dynamic tooth root stress of a light-load spur gear drive and wirelessly send or receive the tooth root strain, speed, and torque signals of the gear shaft. Tsai and Ye 29 proposed a PGT gear tooth load contact analysis method and studied the effect of the torsional stiffness of the sun gear and planet carrier on the contact stress distribution.…”
Considering the comprehensive effect of the internal non-inertial system of planetary gear transmission (PGT) and external non-inertial system of the body, combined with the modified Heywood formula and Hertz formula, a calculation model for the dynamic bending stress and contact dynamic stress of the PGT in a non-inertial system (NIS) is proposed. The stress non-inertial coefficients ( KNI) describing the influence of the additional effects on the dynamic stress in the non-inertial system are defined. Additionally, the variation law of non-inertial coefficients under two typical non-inertial conditions of variable-speed horizontal flight and somersault motion was studied. The effect of gear installation and manufacturing errors on the non-inertial coefficients under two maneuvering conditions was analyzed. The results indicated that non-inertial coefficients increase with an increase in the maneuverability of the body, and the variable-speed horizontal flight and somersault motion have significant effects on the changing trend of non-inertial coefficients with the gear installation and manufacturing errors. Compared with the gear error, the effect of the NIS has a significant influence on the non-inertial coefficients.
“…Thus, the load angle α j , tooth thickness h L , tooth thickness h f at the peak position of the tooth root stress, and height l f can be obtained according to equations 19-22. f L , α L , R L , h o , and l o are given from equation (23) to equation (27). The other parameters of equation (23) to equation ( 27) can be obtained according to equation (28).…”
“…He et al 27 proposed a numerical model of intersecting bevel gears to evaluate the dynamic stress distribution and dynamic transmission error, and they calculated the dynamic contact characteristics of involute and non-involute bevel gears using the three-dimensional dynamic contact finite element method. Zhou et al 28 developed a gear test bench that can wirelessly measure the dynamic tooth root stress of a light-load spur gear drive and wirelessly send or receive the tooth root strain, speed, and torque signals of the gear shaft. Tsai and Ye 29 proposed a PGT gear tooth load contact analysis method and studied the effect of the torsional stiffness of the sun gear and planet carrier on the contact stress distribution.…”
Considering the comprehensive effect of the internal non-inertial system of planetary gear transmission (PGT) and external non-inertial system of the body, combined with the modified Heywood formula and Hertz formula, a calculation model for the dynamic bending stress and contact dynamic stress of the PGT in a non-inertial system (NIS) is proposed. The stress non-inertial coefficients ( KNI) describing the influence of the additional effects on the dynamic stress in the non-inertial system are defined. Additionally, the variation law of non-inertial coefficients under two typical non-inertial conditions of variable-speed horizontal flight and somersault motion was studied. The effect of gear installation and manufacturing errors on the non-inertial coefficients under two maneuvering conditions was analyzed. The results indicated that non-inertial coefficients increase with an increase in the maneuverability of the body, and the variable-speed horizontal flight and somersault motion have significant effects on the changing trend of non-inertial coefficients with the gear installation and manufacturing errors. Compared with the gear error, the effect of the NIS has a significant influence on the non-inertial coefficients.
“…As for the domestic research status in the field of wireless energy and data transmission, Song Kai and Zhu Chunbo et al from Harbin Institute of Technology realized wireless charging of robots based on magnetic coupling resonance [3] . Zhou Changjiang and Hu Bo et al from Hunan University in China realized wireless dynamic measurement of gear roots by using wireless data acquisition card and TP-Link [4] . Minmin Xu proposed a gear-shaft-bearing-housing dynamic model to reveal the modulation between bearing and gear [5] .…”
A remote sensing gear shaft stress monitoring system is studied to deal with the stress balance of transmission gear, which realizes the real-time dynamic monitoring of the planetary gear shaft stress. The design of the whole system structure, the installation position of the basic system and the special working environment of the gear are carried out; the circuit of each function unit is designed, which is based on the overall index requirement and installation space limitation; the software program design is carried out on the basis of the hardware circuit; The main components of the system and the principle of dynamic monitoring system are described; each functional unit and the whole of the system are tested and analyzed in detail. The operation results show that the design is reliable, the actual functions of each unit can meet the design index, and has a certain contribution in the field of gear shaft stress monitoring.
“…Liu et al analyzed the dynamic characteristics of the floating non-loaded ring gear with external spline teeth in Ravigneaux planetary gear sets and carried out the wireless measurement and dynamic contact analysis on the root stress of a light-load spur gear drive. [17][18][19] He et al established a mathematical model of gear meshing impact and developed an automatic modeling program for tooth meshing analysis. 20 Hu et al presented a meshing impact dynamic model considering the contact ratio and obtained the maximum deformation caused by the meshing impact, and proposed a method that can be used to determine the meshing impact of gear teeth during operation.…”
The planetary gear transmission is widely used because of its advantages such as large transmission ratio and high transmission efficiency. But at the moment of starting, there is a speed difference between driving gear and driven wheel due to the backlash between the teeth, this will easily cause the initial collision and impact force, which seriously affect the life of gear transmission, even lead to tooth surface pitting and root fracture failure, therefore, it is necessary to conduct a quantitative analysis of the initial collision. Based on the gear meshing principle and the system dynamics theory, the analytical calculation formula of initial impact force for the internal and external meshing gear pair was derived. The impact simulation analysis model of planetary helical gear transmission was established based on the finite element LS-DYNA, and the simulation analysis results were compared with the analytical calculation results, which verified the correctness of the analytical calculation model. This paper reveals the impact collision mechanism and studies the influence law of the speed and temperature on the impact force, thus laying a good theoretical foundation for the dynamic modification design of the planetary gear transmission and preventing the failure of the gear teeth from impact collision.
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