Authors: Seong Su Kim, Juh Wan Choi, Sung Soo Rhim, Jin Hwan Choi
Abstract: An analysis for operating characteristics of piston lubrication system is performed based on the numerical model in this study. Dynamic piston lubrication characteristics such as oil film pressure and thickness distribution can be analyzed through a numerical model with an integration of elastohydrodynamics and multi-flexible-body dynamics (MFBD). In particular, the oil film thickness variation by elastic deformation is considered in the elastohydrodynamic analysis by using the modal reduction method in MFBD system. And this effect is reflected on the fluid governing equations to evaluate the oil film pressure in the lubrication region. A series of process proposed in this study is available for the analysis of realistic elastohydrodynamic lubrication phenomenon. A numerical example for the piston lubrication system is also demonstrated.
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Authors: Sung Ham Hong, Juh Wan Choi, Sung Soo Rhim, Jin Hwan Choi
Abstract: In the Roll-to-Roll (R2R) system, the design and development for a roller path and control system are mainly performed by the expert’s experience. There are some important issues in the numerical analysis method of R2R system. This study proposes an efficient R2R system analysis method. The first one is the Approximated Winding Length Estimation (AWLE) algorithm which can calculate the analytic winded length of the workpiece. The core winder is approximated with line and arc segments in this algorithm. As a result, in the numerical model of R2R system, we can replace the winder characteristics with the approximated winding length estimation (AWLE) algorithm. The second one is the contact algorithm between workpiece and rollers. This contact algorithm must be stable and fast for precise analysis. The third one is the flexible workpiece model. The workpiece can be modeled by the finite elements. By implementing these some important issues, this paper proposes an efficient R2R system analysis method.
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Authors: Hui Je Cho, Dae Sung Bae, Jin Hwan Choi, Ja Choon Koo
Abstract: Dynamic analysis of many mechanical systems is often involved with contacts among
bodies. This paper presents an efficient and general-purpose contact search algorithm for multibody
dynamics in the context of the compliance contact force model. While many conventional collision
detection algorithms are based on the absolute coordinate system, this paper proposes to use the
relative coordinate system in detecting a contact. A boundary box of a defense surface geometry is
divided into many blocks. A contact reference frame is defined on the defense body of a contact
pair. Since all geometric variables necessary to detect a contact are measured relative to the contact
reference frame attached to the defense body, the variables belonging to the defense body are
constant, which significantly reduces computation time associated with the contact search.
Therefore, the contact reference frame plays a key role in developing an efficient contact search
algorithm. 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. Bounding
boxes inside which contain each body of a contact pair are defined at a preprocessing stage to
eliminate an exhaustive contact inspection when two bodies are in a distance. If two bounding
boxes are turned out to be in a contact during the pre-search, each node on the hitting boundary is
inspected to find out to which block the node belongs in the post-search. Since each block dividing
the boundary of the defense body has a list of patches, each node on the hitting boundary is tested
for a contact only with the patches in the block that the node belongs. Actual contact calculation is
then 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.
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Authors: Daisuke Suzuki, Shigeru Horiuchi, Jin Hwan Choi, Han Sik Ryu
Abstract: The prime source of vibration and noise in a gear system is originated from transmission error between the meshing gears. In this paper, the dynamic modeling method and response of a spur gear pair for the efficient system simulation are investigated by using a detailed contact analysis at each time step. Input values such as time-varying mesh stiffness and static transmission error excitation are not required in this investigation because mesh forces are obtained by contact analysis
directly. The efficient contact search kinematics and algorithms in the context of the compliant contact model are developed to detect the interactions between teeth surfaces. In this investigation the compliant force model based on the Herzian law is employed using Coulomb friction force model, and dynamic transmission error (DTE) and mesh frequency values of contacting gear system are also
illustrated.
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Authors: Jin Hwan Choi, Dae Sung Bae, Hui Je Cho
Abstract: Nodal displacements are referred to the initial configuration in the total
Lagrangian formulation and to the last converged configuration in the updated
Lagrangian 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 a
spanning 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 to
demonstrate the efficiency and validity of the proposed method.
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