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Simulating Coupled Longitudinal, Pitch and (模拟耦合纵向,音高和)
Modern Mechanical Engineering, 2012, 2, 176-189
/10.4236/mme.2012.24023 Published Online November 2012 (http://www.SciRP.org/journal/mme)
Simulating Coupled Longitudinal, Pitch and Bounce
Dynamics of Trucks with Flexible Frames
D. Geoff Rideout
Faculty of Engineering and Applied Science, Memorial University, St. John’s, Canada
Email: g.rideout@mun.ca
Received August 7, 2012; revised September 8, 2012; accepted September 19, 2012
ABSTRACT
Simulating the dynamic response of trucks requires that a model be constructed and subjected to road inputs. Inclusion
or omission of flexible frame effects is often based on intuition or assumption. If frame vibration is assumed to be sig-
nificant, it is typically incorporated in one of two ways. Either a complex finite element model of the frame is used, or a
simplified linear modal expansion model (which assumes small motions) is employed. The typical low-order modal
expansion model, while computationally efficient and easier to use, is limited by the fact that 1) large rigid body mo-
tions and road grade changes are not supported, and 2) longitudinal dynamics are not coupled to vertical and bounce
dynamics. In this paper, a bond graph model is presented which includes coupled pitch and bounce motions, longitudi-
nal dynamics, and transverse frame vibration. Large rigid body motions are allowed, onto which small flexible vibra-
tions are superimposed. Frame flexibility is incorporated using modal expansion of a free-free beam. The model allows
for a complete pitch-plane representation in which motive forces can propel the truck forward over varying terrain, in-
cluding hills. The effect of frame flexibility on vehicle dynamics can then be studied. This is an extension of the typical
half
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