Explicit Nonlinear Finite Element Geometric Analysis of Parabolic Leaf Springs under Various Loads

This study describes the effects of bounce, brake, and roll behavior of a bus toward its leaf spring suspension systems. Parabolic leaf springs are designed based on vertical deflection and stress; however, loads are practically derived from various modes especially under harsh road drives or emergency braking. Parabolic leaf springs must sustain these loads without failing to ensure bus and passenger safety. In this study, the explicit nonlinear dynamic finite element (FE) method is implemented because of the complexity of experimental testing A series of load cases; namely, vertical push, wind-up, and suspension roll are introduced for the simulations. The vertical stiffness of the parabolic leaf springs is related to the vehicle load-carrying capability, whereas the wind-up stiffness is associated with vehicle braking. The roll stiffness of the parabolic leaf springs is correlated with the vehicle roll stability. To obtain a better bus performance, two new parabolic leaf spring designs are proposed and simulated. The stress level during the loadings is observed and compared with its design limit. Results indicate that the newly designed high vertical stiffness parabolic spring provides the bus a greater roll stability and a lower stress value compared with the original design. Bus safety and stability is promoted, as well as the load carrying capability.

[1]  Jong Shik Kim,et al.  Design and Experimental Evaluation of a Robust Position Controller for an Electrohydrostatic Actuator Using Adaptive Antiwindup Sliding Mode Scheme , 2013, TheScientificWorldJournal.

[2]  Mathias R Lidberg,et al.  Vehicle dynamics simulations with coupled multibody and finite element models , 1999 .

[3]  Qiang Gao,et al.  Multiobjective Optimization Design of a Fractional Order PID Controller for a Gun Control System , 2013, TheScientificWorldJournal.

[4]  Hiroyuki Sugiyama,et al.  Development of nonlinear elastic leaf spring model for multibody vehicle systems , 2006 .

[5]  Thomas J. R. Hughes,et al.  Improved numerical dissipation for time integration algorithms in structural dynamics , 1977 .

[6]  Kumar Krishan,et al.  A Finite Element Approach for Analysis of a Multi Leaf Spring using CAE Tools , 2012 .

[7]  Shahrum Abdullah,et al.  Stress behavior of a novel parabolic spring for light duty vehicle , 2012 .

[8]  Shuenn-Yih Chang,et al.  Studies of Newmark method for solving nonlinear systems: (I) basic analysis , 2004 .

[9]  J. Marsden,et al.  Variational Integrators and the Newmark Algorithm for Conservative and Dissipative Mechanical Systems , 2000 .

[10]  Shahrum Abdullah,et al.  Life assessment of a parabolic spring under cyclic strain loading , 2009 .

[11]  Shishay Amare Gebremeskel Design, Simulation, and Prototyping of Single Composite Leaf Spring for Light Weight Vehicle , 2013 .

[12]  Subhash Rakheja,et al.  Optimal Suspension Damping for Improved Driver- and Road- Friendliness of Urban Buses , 1999 .

[14]  H. P. Lee,et al.  Comparison of implicit and explicit finite element methods for dynamic problems , 2000 .

[15]  Giancarlo Genta,et al.  The Automotive Chassis : Volume 1 : Components Design , 2020 .

[16]  Meir Shillor,et al.  Dynamic bilateral contact with discontinuous friction coefficient , 2001 .

[17]  Paulo A.F. Martins,et al.  Stamping of automotive components: a numerical and experimental investigation , 2004 .

[18]  Aleksander B. Hac ROLLOVER STABILITY INDEX INCLUDING EFFECTS OF SUSPENSION DESIGN. IN: OCCUPANT AND VEHICLE RESPONSES IN ROLLOVERS , 2002 .