Instability load analysis of a telescopic boom for an all-terrain crane

Abstract. The instability load for the telescopic boom of an all-terrain crane is investigated in this paper. Combined with structural characteristics of the telescopic boom, each boom section is divided into several substructures, and the fixed-body coordinate system of each substructure is established based on the co-rotational method. A 3D Euler–Bernoulli eccentric beam element of the telescopic boom is derived. On the premise of considering the discretization of gravity and wind load, internal degrees of freedom of the substructure are condensed to the boundary nodes, forming a geometrical nonlinear super element. According to the nesting mode of the telescopic boom, a constraint way is established. The unstressed original length of the guy rope is calculated with a given preload so as to establish the equilibrium equations of the boom system with the external force of the guy rope and the corresponding tangent stiffness matrix. Regarding the above work, a new method for calculating the structural equilibrium path and instability load of telescopic boom structure is presented by solving the governing equations in a differential form. Finally, the method is validated by examples with different features.

[1]  D. Cekus,et al.  Method of determining the effective surface area of a rigid body under wind disturbances , 2020, Archive of Applied Mechanics.

[2]  L. Hui,et al.  The relationship between eccentric structure and super-lift device of all-terrain crane based on the overall stability , 2020, Journal of Mechanical Science and Technology.

[3]  Jaho Seo,et al.  Model predictive control–based steering control algorithm for steering efficiency of a human driver in all-terrain cranes , 2019, Advances in Mechanical Engineering.

[4]  Edouard Rivière-Lorphèvre,et al.  Modelling of flexible bodies with minimal coordinates by means of the corotational formulation , 2018 .

[5]  Arash Bahar,et al.  A force analogy method (FAM) assessment on different static condensation procedures for frames with full Rayleigh damping , 2018 .

[6]  Erfei Zhao,et al.  Buckling failure analysis of all-terrain crane telescopic boom section , 2015 .

[7]  Gang Wang,et al.  Geometrical nonlinear and stability analysis for slender frame structures of crawler cranes , 2015 .

[8]  Ahmed A. Shabana,et al.  Use of independent rotation field in the large displacement analysis of beams , 2014 .

[9]  Mark A. Bradford,et al.  Elastic out-of-plane buckling load of circular steel tubular truss arches incorporating shearing effects , 2013 .

[10]  A. Mikkola,et al.  Sub-modeling approach for obtaining structural stress histories during dynamic analysis , 2013 .

[11]  R. Kouhia,et al.  Direct computation of critical equilibrium states for spatial beams and frames , 2012 .

[12]  Mark A. Bradford,et al.  Second-order elastic finite element analysis of steel structures using a single element per member , 2010 .

[13]  Xuhong Zhou,et al.  Combined method of super element and substructure for analysis of ILTDBS reticulated mega-structure with single-layer latticed shell substructures , 2010 .

[14]  Debasish Roy,et al.  A frame-invariant scheme for the geometrically exact beam using rotation vector parametrization , 2009 .

[15]  S. Chucheepsakul,et al.  Effect of inclination on bending of variable-arc-length beams subjected to uniform self-weight , 2008 .

[16]  Yeong-Bin Yang,et al.  Solution strategy and rigid element for nonlinear analysis of elastically structures based on updated Lagrangian formulation , 2007 .

[17]  J. Mäkinen.  Total Lagrangian Reissner's geometrically exact beam element without singularities , 2007 .

[18]  Pruettha Nanakorn,et al.  A 2D field-consistent beam element for large displacement analysis using the total Lagrangian formulation , 2006 .

[19]  Z. Li,et al.  A co-rotational formulation for 3D beam element using vectorial rotational variables , 2006 .

[20]  Jie Li,et al.  A super-element approach for structural identification in time domain , 2006 .

[21]  Carlos A. Felippa,et al.  A unified formulation of small-strain corotational finite elements: I. Theory , 2005 .

[22]  Yoo Sang Choo,et al.  Super element approach to cable passing through multiple pulleys , 2005 .

[23]  Arturo E. Schultz,et al.  Application of the arc-length method for the stability analysis of solid unreinforced masonry walls under lateral loads , 2005 .

[24]  Ahmed A. Shabana,et al.  Dynamics of Multibody Systems , 2020 .

[25]  Yoo Sang Choo,et al.  Finite element modelling of frictional slip in heavy lift sling systems , 2003 .

[26]  P. Betsch,et al.  Constrained dynamics of geometrically exact beams , 2003 .

[27]  C. Pacoste,et al.  Co-rotational beam elements with warping effects in instability problems , 2002 .

[28]  N S Seixas,et al.  A review of crane safety in the construction industry. , 2001, Applied occupational and environmental hygiene.

[29]  Peter Gosling,et al.  A bendable finite element for the analysis of flexible cable structures , 2001 .

[30]  Adnan Ibrahimbegovic,et al.  Quadratically convergent direct calculation of critical points for 3d structures undergoing finite rotations , 2000 .

[31]  P. Frank Pai,et al.  Large-deformation tests and total-Lagrangian finite-element analyses of flexible beams , 2000 .

[32]  M. A. Crisfield,et al.  A new arc-length method for handling sharp snap-backs , 1998 .

[33]  Kisu Lee,et al.  Analysis of large displacements and large rotations of three-dimensional beams by using small strains and unit vectors , 1997 .

[34]  Fumio Fujii,et al.  PINPOINTING BIFURCATION POINTS AND BRANCH-SWITCHING , 1997 .

[35]  M. A. Crisfield,et al.  A unified co-rotational framework for solids, shells and beams , 1996 .

[36]  J. Shi,et al.  Computing critical points and secondary paths in nonlinear structural stability analysis by the finite element method , 1996 .

[37]  M. Crisfield,et al.  A semi-direct approach for the computation of singular points , 1994 .

[38]  M. Crisfield.  An arc‐length method including line searches and accelerations , 1983 .

[39]  T. Hsu,et al.  An integrated load increment method for finite elasto–plastic stress analysis , 1980 .

[40]  Gerald Wempner,et al.  Finite elements, finite rotations and small strains of flexible shells , 1969 .

[41]  A Geometric Nonlinear Calculation Method for Spatial Suspension Cable , 2022, Journal of Mechanical Engineering.

[42]  H. B. Jayaraman,et al.  A curved element for the analysis of cable structures , 1981 .

[43]  P. Bergan,et al.  Solution techniques for non−linear finite element problems , 1978 .

[44]  B. J. Hsieh,et al.  Non-Linear Transient Finite Element Analysis with Convected Co--ordinates , 1973 .

[45]  J. S. Przemieniecki.  Matrix Structural Analysis of Substructures , 1963 .