Analysis of flexibility of the support and its influence on dynamics of the grab crane

Abstract

Dynamic analysis of the model of the grab crane with the flexibly supported base is presented in the paper. The analyzed grab crane is the structure of the open-loop kinematic chain with rigid links. Joint coordinates and homogenous transformations are used in order to describe dynamic behavior of the system. Equations of the motion of the systems are derived using Lagrange's equations of the second order and integrated Newmark's method with iterative procedure. The commercial package MSC.ADAMS is used in order to verify own program. The range of analysis concerns influence of different values of vertical stiffness coefficients in the supports and means of fixing of the load on its motion.

The influence of the friction phenomenon on a forest crane operator’s level of discomfort

“…Its main purpose is to investigate dynamics during various operation modes and handling scenarios, including estimation of loads, load motion, drive system control and others. The flexibility of the support system [22][23][24][26][27][28][29][30], which is modelled as one-dimensional spring-damping elements, is taken into account in the mathematical model. In the similar way a flexible system is built to represent the operator's seat connection to the crane column.…”

“…In the similar way a flexible system is built to represent the operator's seat connection to the crane column. In the crane model developed here, all drive units also have flexible features [26][27][28][29][30]. Homogeneous transformation and joint coordinates are applied to describe the geometry of the crane units [7,14,15].…”

Stability Assessment as a Criterion of Stabilization of the Movement Trajectory of Mobile Crane Working Elements

“…Carrying large loads with the aid of truck mobile cranes may in certain conditions lead to a stability loss [1][2][3][4][5][6][7][8][9][10]. The value of the moment required to maintain balance in relation to the tip-over axis [2,8,11,12] may constitute the measure of the risk of the crane tipping over.…”

Crane Stability Assessment Method in the Operating Cycle

“…Carrying large loads with the aid of truck mobile cranes may in certain conditions lead to a stability loss [2,[11][12][13][14][15][16][17][18][19]. The value of the moment required to maintain balance in relation to the tip-over axis [13,17,20,21] may constitute the measure of the risk of the crane tipping over.…”