Vehicle dynamics Studio

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Half Car · 4 DOF · Temporal axle inputs · Generic passenger-car half-car

Evidence statusPreparing Studio

Model, methods & V&V ↓

Ride modelFull Car · 7 DOFHalf Car · 4 DOFQuarter Car · 2 DOF

Engineering question

How do body heave and pitch respond as a road event reaches each axle?

Next useful step

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Half-Car Transient Study

Generic passenger-car half-car · body heave and pitch

Vehicle body

Sprung mass (kg)Pitch inertia (kg·m²)CG to front axle (m)CG to rear axle (m)

Suspension

Front suspension stiffness (N/m)Front suspension damping (N·s/m)Rear suspension stiffness (N/m)Rear suspension damping (N·s/m)

Road relationshipAxle road relationshipVehicle speed (km/h)

Rear axle delay: 0.300 s · wheelbase / speed

Speed generates rear road timing only.

Front roadFront road shape

Front road amplitude (mm)Front road start (s)Front road duration (s)

Advanced inputs

Unsprung / tire

Front unsprung mass (kg)Rear unsprung mass (kg)Front tire stiffness (N/m)Rear tire stiffness (N/m)

Initial state · equilibrium offsets

Initial body heave (m)Initial body heave velocity (m/s)Initial body pitch (rad)Initial body pitch rate (rad/s)Initial front unsprung displacement (m)Initial front unsprung velocity (m/s)Initial rear unsprung displacement (m)Initial rear unsprung velocity (m/s)

Numerical setup

Simulation duration (s)Time step (s)

Model assumptions and limitations

Longitudinal linear passive half-car: body heave, nose-up pitch, front and rear unsprung vertical motion (4 DOF / 8 states).
Small-angle pitch about static equilibrium; upward-positive vertical displacement. Suspension attachment motion is z_s + a*theta at the front and z_s - b*theta at the rear.
Generic passenger-car parameters have no measured vehicle correlation or physical-validation claim.
Independent prescribed front/rear road inputs. Speed may generate rear road timing in Study; it is not a differential-equation parameter.
No roll, lateral dynamics, nonlinear suspension, tire contact loss, active control or measured-data correlation.
This report contains transient evidence. Half-Car Frequency Study is a separate harmonic analysis. Motion remains display-only.

Half-Car Response

Heave + pitch · front / rear responses · completed engineering samples

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Model & evidence

Evidence and documentation open in a new tab so this engineering session stays here.

Passive linear heave, pitch and two axle motions. Generic presets are uncorrelated. Evidence covers named cases; it does not certify a custom vehicle.

Run provenanceLocal · Float64 · RK4 · Model v0.1.0

Model: vehiclelab.half-car.linear-passive v0.1.0
Solver: vehiclelab.rk4.fixed-step v0.1.0
Execution: Browser Web Worker
Precision: Float64
Product: VehicleLab 1.21.0

Model & assumptionsLinear passive 4-DOF · static equilibrium

Longitudinal linear passive half-car: body heave, nose-up pitch, front and rear unsprung vertical motion (4 DOF / 8 states).
Small-angle pitch about static equilibrium; upward-positive vertical displacement. Suspension attachment motion is z_s + a*theta at the front and z_s - b*theta at the rear.
Generic passenger-car parameters have no measured vehicle correlation or physical-validation claim.
Independent prescribed front/rear road inputs. Speed may generate rear road timing in Study; it is not a differential-equation parameter.
No roll, lateral dynamics, nonlinear suspension, tire contact loss, active control or measured-data correlation.
This report contains transient evidence. Half-Car Frequency Study is a separate harmonic analysis. Motion remains display-only.

Your engineering journey0 explored · Half Car

0 of 7 Half Car capabilities explored. Shared exports count across models. History records completed work, not the current state of your inputs or results.

One useful next stepStudy · Half-Car Transient

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Export results & provenance

How do body heave and pitch respond as a road event reaches each axle?

Half-Car Transient Study

Half-Car Response

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