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Aerodynamic and Hydrodynamic Performance |
| Performance Boat design and setup secrets for Recreational tunnels, Offshore Cats, Racing tunnels, Fishing/Utility hulls, Vee and Vee-Pad Hulls, Bass Boats | |
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| AR© advanced Dynamic Stability (longitudinal) analysis for Vee hull and Tunnel hull performance optimization. | |||
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| Updated: Feb 15, 2026 |
BREAKTHROUGH! |
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![]() Figure 1 - Aerodynamic and Hydrodynamic forces combine to balance the hull; and it is a different balance at every velocity.
Figure 2 – Tunnel hulls see a unique balance between aerodynamic Lift generated by the deck and or tunnel configuration, and the hydrodynamic Lift generated by the sponson surfaces. ![]() Figure 3 – Vee-pad hulls transition to significant Lift generated by highly efficient aftward “pad” at higher velocities.
Figure 4 - TBDP/VBDP analysis of Dynamic Stability shows changing location of XCFDynamic, related to static CG, indicating more stable/less stable dynamic stable sensitivity, through full operating velocity range.
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TBDP/VBDP Longitudinal Stability Analysis predicts onset of insabilities including nose-dive (stuffing), bow-steer, bow-trip, bow-raise, high bow lift or blow-over, and more. Pitch Stability
Beyond Trim Equilibrium
The Dynamic Longitudinal Stability analysis developed by AeroMarine Research evaluates the restoring quality of the longitudinal force balance across speed. It identifies operating regions where pitch stability margins are strong, weak, or changing, providing designers with insight that conventional trim solvers do not supply. Making it Easy:
TBDP©/VBDP© presents a full range of reporting information that makes the results and recommendations easy to understand.
For each of the Stability measures, the software does ALL the work behind the scenes, and gives both DETAILS and also gives the 'GOOD/NO GOOD' summary of all considerations. [Check out 'Easy Results View' here] Why Static hull
'balance' doesn't help...
The combined center of ALL the lift forces and all the drag forces (sponsons, center-pod, vee surfaces, center-pad, aerodynamic surfaces, lower unit, etc.) while a boat is under way, is called the 'Dynamic Center of Forces' or 'xCFDynamic' centroid. The 'xCFDynamic' location changes throughout the operating velocity range and is the most important design measure to consider when 'balancing' a performance boat.
Some situations that can evolve as triggered by dynamic instablity include…
Note analysis methods apply EQUALLY to all styles, sizes, configurations of hulls, and for all weights, power and velocities - just the same analysis.
How it Works... Core Physical Principle - At any operating speed, a planing hull is acted upon by multiple longitudinal forces, each applied at a different longitudinal location:
As speed changes, both the magnitude and the location of these forces change. Stability depends not only on their sum, but on where their combined line of action lies relative to the vessel’s center of gravity (CG). Tunnel hulls see a unique balance between aerodynamic Lift generated by the deck and or tunnel configuration, and the hydrodynamic Lift generated by the sponson surfaces on the water. Vee hulls (and Vee-Pad hulls) gain lift from the balance of lift from planing vee surfaces and/or center-pad surfaces and also from aerodynamic surfaces. Hump Zone For Vee hulls the "hump zone" transition occurs when a more significant amount of Lift changes from vee surfaces lift to aerodynamic lift and/or vee-pad lift. This "hump" or "transition zone" occurs at a different velocity with each boat and setup. The change in location of the center of Lift (with increasing velocity) is often quite dramatic and can initiate the onset of potential instabilities - like Porpoising or chinewalking.
We have developed a mathematical method to accurately predict the onset of instability and the point of the 'Hump Zone Transition". |
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Net Longitudinal Force Centroid (xCFDynamic)
Pitch Stability Index (C_MCG) To evaluate restoring behavior in a consistent, comparable manner, the force‑centroid offset is normalized to produce a dimensionless pitching moment indicator:
C_MCG = Dimensionless pitching moment coefficient about the CG
C_MCG represents both the direction and relative strength of the net pitching moment...
The sign and magnitude of C_MCG indicate whether the hull is naturally restoring or sensitive to disturbances. Restoring Direction and
Stability Meaning
In this analysis restoring behavior is inferred . When the net moment consistently acts in the restoring direction, the equilibrium trim is stable. When it weakens or changes sign, stability margins are reduced. Stability Prediction Modeling
Throughout the velocity range, the Dynamic Longitudinal Stability analysis determines:
And then classifies pitch stability margins...
Design Relevance
The result is a clearer understanding of how and where a hull’s pitch stability margins evolve across its operating envelope. What to do... The AR dynamic analysis for xCFDynamic and C_MCG can accurately determine the several causes of Longitudinal Instabilities. The transition (Hump) velocity can be accurately determined for any hull design and setup. Onset of instability can be determined and the best arrangement can be determined and designers can optimize hull design and setup characteristics.
Detailed analysis of a hull’s dynamic stability behavior at the hull-design stage is the best way to ensure that the transition through this speed range is dynamically stable, safe and comfortable for the passengers. But it is sometimes difficult for the designer to consider all the various power, payload and setup scenarios that an individual hull design might have to perform to. Consequently, all such boats, will exhibit some kind of a “hump zone” – some more noticeable than others. |
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Dynamic Balance is key... The same goes for the fore/aft static balance, although it's not as easy to know what is just "right" when the boat is at rest. You can't balance your boat on the trailer.
All of the lift & drag (hydrodynamic and aerodynamic), thrust and weight forces on a boat act in different locations - and the location of each of these forces is constantly changing. (This is why you can't effectively "balance" your performance hull while it's still on the trailer). All these different forces at their different locations combine into a net resultant force that acts at the dynamic center of Forces (CGFynamic) and represents the delicate balance of the performance hull.
Ideally, we'd like to have the resultant of these forces acting at the same location as the Static CG, to make the boat dynamically ‘stable’. Since the xCFDynamic location constantly changes throughout the velocity range, this makes the task of ‘dynamic balance‘ of the hull one of optimization. Moving weight around can help the boat's balance in a key velocity range, improving handling and response. The goal is to move weight so that static CG is closest to the xCFDynamic at the most common or most critical hull speeds. |
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Example Analysis
of
C_MCG, XCGDynamic & XCGStatic As an example, let’s consider a small performance hull with total weight 1600bs and a calculated static CofG located at XCGStatic=4.5ft forward of the transom. This means that the weight (1600lbs) of the hull while at rest is centered at the static center of gravity located +4.5ft ahead of the hull transom [see Figure 6 above]. Based on the design and setup of this hull at 20mph, the calculated location of the center of dynamic forces (XCFDynamic) is approximately +7.8ft fore of transom. This is +3.2ft FORE of the XCGStatic location, and represents a 'bow-UP' moment of +5120 lb-ft. If we were going to try to ‘balance’ the hull at just this one velocity (20mph), then we would have to relocate the static CG location (XCGStatic) FOREWARD by…5120/1600 = 3.2ft FOREWARD from where it is now.
Alternatively, the calculated XCGDynamic location at 72mph is approximately +1.7ft fore of the transom. This is -2.8ft AFT of the XCGStatic location and represents a ‘bow-DOWN’ moment of -4480 lb-ft. If we were going to try to ‘balance’ the hull at just this one velocity (80mph), then we would have to relocate the static CG location (XCGStatic) AFTWARD by -4480/1600 = -2.8ft AFTWARD from where it is now.
The important thing to note with such analysis is that the static center of gravity (XCGStatic) of the hull obviously cannot be in two different locations. The important parameter to study for the performance of the hull is the Dynamic CofG (XCFDynamic), and XCFDynamic moves to different locations under all the different operating conditions of the boat. Thus, the hull can, at best, be ‘dynamically balanced’ at only one velocity. (If we were to move the static CofG to balance at 20mph, then the ‘dynamic balance’ at 72mph would be worse).
Many of the design features of a hull can influence the location of the Dynamic CofG (XCFDynamic) throughout the operating velocity range of the hull. The weight of many of the payloads of a hull can also be located so as to alter the Static CofG (XCGStatic). It’s best to try to locate XCGStatic and XCGDynamic as closely together as possible, and so as to minimize any dramatic changes in the shifting of XCGDynamic as it relates to XCGStatic.
An easy way to analyze just how “dramatic” the changes in shifting XCFDynamic is to plot a graph of the derivative of the XCGDynamic data…this is the “rate-of-change” of XCFDynamic…and is shown on the TBDP©/VBDP© graphic displays as the blue line on the chart. When this curve is increasing, this means that XCGDynamic is changing at a faster rate. This can indicate that the hull is becoming more unstable and may be more difficult for the driver to correct.) See more about “rate-of-change” graphic curves in Section 7.6.2 of the TBDP/VBDP manual).
Also considered is the 'direction-of-change' of the XCFDynamic location as velocity changes. For example, if XCFDynamic is moving aftward as velocity is increasing, this movement generates certain stability characteristics (see Figure 4, above). This same observation works in the opposite direction when velocity is decreasing. In the example (Figure 4, above), a deceleration or velocity decreasing will cause XCFDynamic to move forward, which may have detrimental handling and stability characteristics.
This example illustrates the “compromise” of the design process for performance powerboat hulls. A hull cannot normally be in ‘dynamic balance’ throughout its operating velocity range. So, the best approach for the designer is to attempt to locate the static CofG (XCGStatic) at a location that helps create the best ‘compromise’ of DYNAMIC BALANCE at most all speeds in the velocity range, paying particular attention to the speed regime that will be most utilized by the operators. |
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Research results now included in performance analysis by TBDP©/VBDP© [more about AR's research more about AR's publications and technical articles/papers] |
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"Secrets
of Tunnel Boat Design - Second Edition" book |
"Secrets of Propeller Design" book | |
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| "TBDP Version 8" Software | "VBDP Version 8" Software | "PropWorks2" software |
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Contact
us at: AeroMarine Research® 67 Highland Crescent, Cambridge, ON, Canada, N1S1M1 Tel: 519-240-7959 |
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Jim Russell, 1999, all rights reserved. Material from this website may be not copied or used or redistributed, in whole or in part, without specific written consent of Jim Russell or AeroMarine Research®. |
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