Abstract: A method of tuning a bat includes estimating a ball-bat interaction time, Ti, of an impact between a ball and the bat and tuning at least one desired mode of vibration in the bat produced by the impact. The desired mode of vibration is tuned by selecting properties of the bat so that the desired mode of vibration has a period approximately equal to 4/3 Ti. When a mode of vibration is so tuned, the energy the vibration transfers to a batted ball is optimized. A tuned bat has one or more of the desired modes that is approximately equal to 4/3 Ti, giving the bat a desirable bat performance factor and a desirable level of durability. Typically, the first hoop mode of vibration is given first priority during tuning of the bat. However, other modes of vibration, such as an axial bending mode of vibration may also be tuned to have a period approximately equal to 4/3 Ti.

Abstract: A method of tuning a bat includes estimating a ball-bat interaction time, Ti, of an impact between a ball and the bat and tuning at least one desired mode of vibration in the bat produced by the impact. The desired mode of vibration is tuned by selecting properties of the bat so that the desired mode of vibration has a period approximately equal to 4/3Ti. When a mode of vibration is so tuned, the energy the vibration transfers to a batted ball is optimized. A tuned bat has one or more of the desired modes that is approximately equal to 4/3Ti, giving the bat a desirable bat performance factor and a desirable level of durability. Typically, the first hoop mode of vibration is given first priority during tuning of the bat. However, other modes of vibration, such as an axial bending mode of vibration may also be tuned.