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  • 1
    Electronic Resource
    Electronic Resource
    s.l. ; Stafa-Zurich, Switzerland
    Solid state phenomena Vol. 120 (Feb. 2007), p. 129-134 
    ISSN: 1662-9779
    Source: Scientific.Net: Materials Science & Technology / Trans Tech Publications Archiv 1984-2008
    Topics: Physics
    Notes: Dynamic analysis of many mechanical systems is often involved with contacts amongbodies. This paper presents an efficient and general-purpose contact search algorithm for multibodydynamics in the context of the compliance contact force model. While many conventional collisiondetection algorithms are based on the absolute coordinate system, this paper proposes to use therelative coordinate system in detecting a contact. A boundary box of a defense surface geometry isdivided into many blocks. A contact reference frame is defined on the defense body of a contactpair. Since all geometric variables necessary to detect a contact are measured relative to the contactreference frame attached to the defense body, the variables belonging to the defense body areconstant, which significantly reduces computation time associated with the contact search.Therefore, the contact reference frame plays a key role in developing an efficient contact searchalgorithm. Contour of the defense body is approximated by many piecewise triangular patches,while contour of the hitting body is represented by hitting nodes along its boundary. Boundingboxes inside which contain each body of a contact pair are defined at a preprocessing stage toeliminate an exhaustive contact inspection when two bodies are in a distance. If two boundingboxes are turned out to be in a contact during the pre-search, each node on the hitting boundary isinspected to find out to which block the node belongs in the post-search. Since each block dividingthe boundary of the defense body has a list of patches, each node on the hitting boundary is testedfor a contact only with the patches in the block that the node belongs. Actual contact calculation isthen carried out to find the contact penetration used in calculating the compliant contact force.Numerical example is performed to demonstrate the validity of the proposed method
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    s.l. ; Stafa-Zurich, Switzerland
    Materials science forum Vol. 505-507 (Jan. 2006), p. 577-582 
    ISSN: 1662-9752
    Source: Scientific.Net: Materials Science & Technology / Trans Tech Publications Archiv 1984-2008
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Nodal displacements are referred to the initial configuration in the totalLagrangian formulation and to the last converged configuration in the updatedLagrangian formulation. This research proposes a relative nodal displacement method to represent the position and orientation for a node in truss structures. Since the proposed method measures the relative nodal displacements relative to its adjacent nodal reference frame, they are still small for a truss structure undergoing large deformations for the small size elements. As a consequence, element formulations developed under the small deformation assumption are still valid for structures undergoing large deformations, which significantly simplifies the equations of equilibrium. A structural system is represented by a graph to systematically develop the governing equations of equilibrium for general systems. A node and an element are represented by a node and an edge in graph representation, respectively. Closed loops are opened to form aspanning tree by cutting edges. Two computational sequences are defined in the graph representation. One is the forward path sequence that is used to recover the Cartesian nodal displacements from relative nodal displacements and traverses a graph from the base node towards the terminal nodes. The other is the backward path sequence that is used to recover the nodal forces in the relative coordinate system from the known nodal forces in the absolute coordinate system and traverses from the terminal nodes towards the base node. One closed loop structure undergoing large deformations is analyzed todemonstrate the efficiency and validity of the proposed method
    Type of Medium: Electronic Resource
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  • 3
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