induced in cycloidal motion. Conversely, the present method generates smooth trajectory profiles thereby cancelling the
residual vibration perfectly.
It should be noted that the optimal trajectory calculated for only N = 2 accomplishes residual vibration suppression (i.e., vibration control is achieved by tuning only two coefficients of an in Eq. (6)).
Incidentally, it is also interesting that with an increase in the number of terms, the maximum tip displacement during the PTP motion reduces.
Therefore, we can say that the proposed method is effective for vibration control.
The operating energy, which is defined in Eq. (11), is listed in Table 2. It can be seen in Table 2 that increasing the number of terms also decreases the operating energy.
Consequently, it is revealed that although N = 2 number of terms is sufficient to cancel the residual vibration, increasing the number of terms is necessary for energy saving.
In the numerical simulations presented below, the number of terms was set to N = 6 because the operating energy was not further decreased for numbers greater than 6.
induced in cycloidal motion. Conversely, the present method generates smooth trajectory profiles thereby cancelling theresidual vibration perfectly. It should be noted that the optimal trajectory calculated for only N = 2 accomplishes residual vibration suppression (i.e., vibration control is achieved by tuning only two coefficients of an in Eq. (6)). Incidentally, it is also interesting that with an increase in the number of terms, the maximum tip displacement during the PTP motion reduces.Therefore, we can say that the proposed method is effective for vibration control. The operating energy, which is defined in Eq. (11), is listed in Table 2. It can be seen in Table 2 that increasing the number of terms also decreases the operating energy.Consequently, it is revealed that although N = 2 number of terms is sufficient to cancel the residual vibration, increasing the number of terms is necessary for energy saving. In the numerical simulations presented below, the number of terms was set to N = 6 because the operating energy was not further decreased for numbers greater than 6.
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