非惯性系中非轻质弹簧的弹性力分布

The Elastic Force Distribution of a Massive Spring in Non-inertial Frame

应用圆柱形弹簧的劲度系数公式和胡克定律,导出非惯性系中形变前后非轻质静止弹簧上同一点相对于弹簧固定端的距离关系式,给出弹簧非均匀形变的数学表述,推导非惯性系中静止弹簧形变量与弹簧两端所受外力的关系式和弹簧上任意处弹性力的计算公式,讨论非惯性系中非轻质静止弹簧形变后的弹性力分布问题.

Making use of elastic coefficient formula of cylindrical spring and Hooke＇ s law, the formula of the distance of the same point relative to spring fixation before and after deformation of still massive spring at the non-inertial frame is deduced. A mathematical expression of uneven spring deformation is given. The equation of still spring deformation and external force at the ends of spring and the calculation formula of elastic force at any position of spring are both deduced at the non-inertial frame. And the question of elastic force distribution after deformation of still massive spring at the non-inertial frame is discussed.