Method for determining stability critical force of crane nth-order telescopic boom

The invention discloses a method for determining stability critical force of a crane nth-order telescopic boom, relates to a recursion formula and a numerical solution of critical force of telescopicengineering crane booms, and belongs to the field of structural design of large-sized mechanical equipment. The method comprises the following steps: 1, establishing an nth-order stepped column model,and concluding an instability character equation; 2, concluding a recursion transcendental equation specific to the instability character equation in the step 1; 3, acquiring a numerical solution forthe transcendental equation in the step 2; 4, solving critical force P according to the numerical solution; and 5, getting a length coefficient [mu]2 of an nth-order stepped column according to the critical force determined in the step 4 in order to solve actual engineering problems. Through adoption of the method for determining the critical force of the nth-order stepped column crane telescopicboom, the maximum lifting w