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Design and material utilization   C HAPTER 18.1






                                                      Structural dynamics
                                                          design

                                          Weight optimized  design           design  Static stiffness  Costs

                             Time




                                                       Crashworthiness
                                                          design





                                                   6
           Fig. 18.1-8 Critical areas for body design (after Ludke ).
           deforms in a complex fashion. Average stress values for  and these are attributed to the effective application of
           each element can also be displayed numerically or by  FEM analysis and the interrelationship with material
           graduated shades of colour. Load inputs were as shown at  properties.
                                                                                            6
           (b) and the FE model for the BIW at (c).             Structural dynamics is described as the achievement
                                                              of the desired level of comfort in terms of noise,
                                                              vibration and harshness (NVH) for which the yardstick
           18.1.4 One manufacturer’s                          is taken as behaviour at idling speed – normally between
           approach to current design                         600 and 700 rpm. To ensure ‘vibration-free’ operation,
                                                              the frequencies for the first bending and torsional nat-
           It is now timely to consider the more contemporary ap-  ural modes of the complete vehicle must lie within
           proach to design and reference is made to the approach  a limited frequency range. The upper limit of this range
           that BMW have adopted to utilizing materials to opti-  is represented by the third engine order of the
           mize structural performance while at the same time  6-cylinder engine and the lower limit by the second
           satisfying prevailing safety, performance and environ-  engine order of the 4-cylinder engines thus constituting
           mental requirements. Their progress is illustrated by  an ‘idle frequency window’. To attain the target fre-
           extracts taken from information presented recently by  quencies of 26/29 Hz for the vehicle as a whole, the
           Bruno Ludke, BMW Body Design specialist, at recent  corresponding natural modes of the bodyshell must be
           international automotive conferences (Fig. 18.1-8).  twice as high and no local modes must occur below
                                                              these frequencies, e.g. at the front or rear of the vehicle.
                                                              The improvements achieved with the outstandingly
           18.1.4.1 Product requirements                      popular 3, 5 and 7 series BMW models are illustrated
                                                              schematically in Fig. 18.1-9 and the success in this area
           In terms of lightweight bodyshell functional design  is attributed primarily to the application of FEM anal-
                6
           Ludke has identified four areas for critical consideration:
                                                              ysis and experimental modal analysis technique applied
             Structural dynamics                              at the early stages of body shell development.
             Static stiffness
             Crashworthiness
             Weight optimization                              18.1.4.3 Design for static stiffness
                                                              Static design entails the optimization of torsional stiff-
           18.1.4.2 Structural dynamics                       ness and strength under quasistatic loading conditions
                                                              and good static stiffness values are fundamental re-
           Improvements in performance including significant   quirements for target dynamic characteristics previously
           weight savings in the steel body achieved over recent  described. The variation in torsional stiffness with vehi-
           model generations are described in the following sections  cle kerb weight (K w ) has been developed as shown in



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