Nonlinear multi-body dynamic modeling of seat-occupant system with polyurethane seat and H-point prediction

Abstract Hip joint location (H-point) is an important design specification used by car seat manufacturers. Since most modern car seats are full-foam, the H-point location is primarily dependent on quasi-static behavior of foam which is a highly nonlinear and viscoelastic material. In this work, the seat–occupant dynamic model is developed in the form of a planar multi-degree of freedom system that also incorporates nonlinear viscoelastic behavior of flexible polyurethane foam. The foam force is modeled as an additive sum of nonlinear elastic and linear viscoelastic effects. The viscoelastic force is modeled as a convolution integral with a sum of exponentials kernel. The interface between the occupant and the seat at the seat-back and at the seat-bottom is modeled using Coulomb friction type laws. A system identification procedure, based on linear least squares fitting and ARMA modeling, is developed to identify the parameters from data collected in quasi-static foam experiments. The resulting nonlinear integro-differential algebraic model of the seat–occupant system is used to simulate the response of the system and determine the H-point for the occupant. A few parametric studies related to the effect on H-point of different foam types and inertia properties of the occupant are also reported. Such a model can be very useful for investigating the effects on H-point location of design changes in the seat foam. It can also be used to determine the forces at the occupant–seat interface and thus in studies related to occupant's comfort.

[1]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[2]  M J Griffin,et al.  Qualitative models of seat discomfort including static and dynamic factors , 2000, Ergonomics.

[3]  修二 西山 車両-乗員系連成振動シミュレーションシステムの開発 : 第1報,理論解析およびシステム検証 , 1993 .

[4]  Rong Deng,et al.  Flexible polyurethane foam modelling and identification of viscoelastic parameters for automotive seating applications , 2003 .

[5]  Michael J. Griffin,et al.  MODELLING A SEAT-PERSON SYSTEM IN THE VERTICAL AND FORE-AND-AFT AXES , 1984 .

[6]  R. S. Lakes,et al.  Negative Poisson's ratio foam as seat cushion material , 2000 .

[7]  Seong Keol Kim,et al.  Experimental Techniques and Identification of Nonlinear and Viscoelastic Properties of Flexible Polyurethane Foam , 2000 .

[8]  Michael J. Griffin,et al.  Predicting the discomfort caused by simultaneous vertical and fore-and-aft whole-body vibration , 1988 .

[9]  S. G. Hutton,et al.  Closed-Form Solutions and the Eigenvalue Problem for Vibration of Discrete Viscoelastic Systems , 1997 .

[10]  Lorraine C. Yu,et al.  Automotive Seating Foam: Subjective Dynamic Comfort Study , 1999 .

[11]  D G Wilder,et al.  The response of the seated human to sinusoidal vibration and impact. , 1987, Journal of biomechanical engineering.

[12]  Michael J. Griffin,et al.  Handbook of Human Vibration , 1990 .

[13]  Se-Jin Park,et al.  Determination of Seat Sponge Properties with Estimated Biodynamic Model , 2000 .

[14]  M. Griffin,et al.  Quantitative prediction of overall seat discomfort , 2000, Ergonomics.

[15]  修二 西山 車両-乗員系連成振動シミュレーションシステムの開発 : 第2報,乗員挙動に及ぼす最終着座姿勢の影響 , 1993 .

[16]  L. Mullins Effect of Stretching on the Properties of Rubber , 1948 .

[17]  Michael J. Griffin,et al.  The apparent mass of the seated human body in the fore-and-aft and lateral directions , 1990 .

[18]  Mark R. Kinkelaar,et al.  Vibrational Characterization of Various Polyurethane Foams Employed in Automotive Seating Applications , 1998 .

[19]  C D Nash,et al.  A model for the response of seated humans to sinusoidal displacements of the seat. , 1974, Journal of biomechanics.

[20]  K C Parsons,et al.  Vibration and comfort. I. Translational seat vibration. , 1982, Ergonomics.

[21]  Cho-Chung Liang,et al.  A study on biodynamic models of seated human subjects exposed to vertical vibration , 2006 .

[22]  Anil K. Bajaj,et al.  Simplified models of the vibration of mannequins in car seats , 2003 .

[23]  Y Wan,et al.  Optimal seat suspension design based on minimum "simulated subjective response". , 1997, Journal of biomechanical engineering.

[24]  Harvey Thomas Banks,et al.  Stress-strain laws for carbon black and silicon filled elastomers , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[25]  Ion Stiharu,et al.  Seated occupant interactions with seat backrest and pan, and biodynamic responses under vertical vibration , 2006 .

[26]  Linda R. Petzold,et al.  Numerical solution of initial-value problems in differential-algebraic equations , 1996, Classics in applied mathematics.

[27]  修二 西山 自動車-乗員系の連成振動を考慮した乗員の上下・左右振動解析 , 1993 .

[28]  Mothiram K. Patil,et al.  A mathematical model of tractor-occupant system with a new seat suspension for minimization of vibration response , 1988 .

[29]  Peter Múčka,et al.  Theoretical investigation of a linear planar model of a passenger car with seated people , 2003 .

[30]  D. T. Greenwood Principles of dynamics , 1965 .

[31]  Harold J. Mertz,et al.  Hybrid III: The First Human-Like Crash Test Dummy , 1994 .

[32]  Anil K. Bajaj,et al.  Identification of Nonlinear and Viscoelastic Properties of Flexible Polyurethane Foam , 2003 .

[33]  修二 西山 車両-乗員系連成振動シミュレーションシステムの開発 : 第3報, 乗員挙動に及ぼす乗員・シート系パラメータの影響 , 1994 .

[34]  Yoshiyuki Matsuoka,et al.  CONSTRUCTION OF A VIBRATION SIMULATION MODEL FOR THE TRANSPORTATION OF WHEELCHAIR-BOUND PASSENGERS , 2000 .

[35]  M J Griffin,et al.  Factors affecting static seat cushion comfort , 2001, Ergonomics.

[36]  Jian Pang,et al.  Validation of a Nonlinear Automotive Seat Cushion Vibration Model , 1998 .

[37]  Brian L. Neal,et al.  Differences in Dynamic Performance of Molded Polyurethane Foam as a Function of Pad Thickness and Supported Load , 2001 .

[38]  K C Parsons,et al.  Vibration and comfort. IV. Application of experimental results. , 1982, Ergonomics.

[39]  Farid M. L. Amirouche,et al.  Computational Methods in Multibody Dynamics , 1992 .

[40]  Eiichi Yasuda,et al.  Evaluation of riding comfort: From the viewpoint of interaction of human body and seat for static, dynamic, long time driving , 2000 .