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finite element analysis levelled base terrain vehicles casting defects terra mechanics noise natural frequency energy flow path stationary noise off-road vehicle modal analysis stress casting platform structure strain signal machine design data acquisition systems tri-axial stresses dynamic strain finite element methods frequency deflection chassis mounted structures chassis mechanical design galerkin method variational method weighted residual method collocation method least square method rayleigh-ritz method virtual work principle principle of minimum potential energy concentrated load chassis integrated structure stress and deflection analysis shear force and bending moments. i english search engine optimization flywheel free open access velocity acceleration relative velocity and accele kinematics analytical method graphical method clutches brakes dynamometers spring design coil spring leaf-spring helical spring whal 's factor spring index wire ropes sheave pulley shafts keys couplings fluctuating loads design for fluctuating loads goodman and modified goodman diagrams hand lever foot lever free vibrations single degree freedom systems tractor structure design intense loads levelled bases gradient loads concentrated load section properties shear forces plane stresses and strains platform. pump impeller solidification thin wall impeller simulation vibration localized stress static utilization mechanical seals vibrations. strain gauges degreaser solvants platform strain signals vibration measurement spectral analysis power spectral density braking condition horizontal load shear stress structural strength shear force and bending moment vehicle dynamics displacement transport utility vehicle transport utility vehicles bus design stress analysis mobility collet pneumatic tool pneumatic circuit analysis inertia reaction calculations off-road vehicles chassis mounted platform prototype strain measurement failure analysis of fuel pumps used for diesel eng off-road vehicle mobility design drill jig manufacturing deformation & static analysis semi-trailer