Harding D C, Brandt K D, Hillberry B M
Sandia National laboratories, Albuquerque, NM 87123.
J Biomech. 1993 Dec;26(12):1403-12. doi: 10.1016/0021-9290(93)90091-r.
A numerical optimization procedure was used to determine finger positions that minimize and maximize finger tendon and joint force objective functions during piano play. A biomechanical finger model for sagittal plane motion, based on finger anatomy, was used to investigate finger tendon tensions and joint reaction forces for finger positions used in playing the piano. For commonly used piano key strike positions, flexor and intrinsic muscle tendon tensions ranged from 0.7 to 3.2 times the fingertip key strike force, while resultant inter-joint compressive forces ranged from 2 to 7 times the magnitude of the fingertip force. In general, use of a curved finger position, with a large metacarpophalangeal joint flexion angle and a small proximal interphalangeal joint flexion angle, reduces flexor tendon tension and resultant finger joint force.
采用数值优化程序来确定在钢琴演奏过程中使手指肌腱和关节力目标函数最小化和最大化的手指位置。基于手指解剖结构的矢状面运动生物力学手指模型，用于研究钢琴演奏中所使用手指位置的手指肌腱张力和关节反作用力。对于常用的钢琴键敲击位置，屈肌和固有肌肌腱张力范围为指尖键敲击力的0.7至3.2倍，而关节间合成压缩力范围为指尖力大小的2至7倍。一般来说，采用弯曲的手指位置，掌指关节屈曲角度大而近端指间关节屈曲角度小，可降低屈肌腱张力和手指关节合力。
