Wave Height and Acceleration Analysis

Model Wave Height: Based on the video and scaling, the wave heights in the model appear to be approximately 1.5 to 2 inches (3.8 to 5 cm).

Full-Scale Wave Height: Using Froude scaling, the wave heights for full scale are 6 times greater> than in the model. This results in full-scale wave heights of approximately 9 to 12 inches (23 to 30 cm).

Model Accelerations: The video shows the model responding to waves with relatively small vertical movements. However, the accelerations can be estimated by analyzing the motion of the legs and the time it takes to recover from the wave crests and troughs.

Full-Scale Accelerations: Using Froude scaling, accelerations scale with the cube of the length (L^>3).>). This means full-scale accelerations will be 216 times greater> than in the model. If the model experienced accelerations of approximately 0.2 g, the full-scale accelerations would be around 43.2 g..

Comparison to 50-foot Catamaran and 60-foot Monohull:

50-foot Catamaran: Catamarans typically experience lower accelerations than monohulls due to their wider hulls and reduced rolling motion. However, they are more susceptible to Including wave-induced accelerations due to wave-piercing resistance.
60-foot Monohull: Monohulls tend to experience higher accelerations due to their narrower hulls and greater rolling motion. Wave-induced accelerations on a monohull can be significantly higher than on a catamaran.
Comparison: The calculated full-scale accelerations (43.2 g) are extremely high and may not be realistic for typical wave conditions. This suggests that either the model scaling or assumptions about the model's response need further refinement.

Current Model Configuration: The legs are submerged only 1/3 of their length, which likely reduces their ability to dampen wave motion effectively.

Effect of Doubling Weight with the Same Waterline Area: Adding ballast to increase the weight while maintaining the same waterline area would improve stability and reduce accelerations. However, the exact effect depends on the distribution of ballast. If the weight is evenly distributed, accelerations could be reduced by a factor of approximately 2/3 (due to the added mass).

Estimated Full-Scale Accelerations with Ballast: Assuming the model's accelerations were 0.2 g without ballast, adding twice the weight could reduce the full-scale accelerations to around 28.8 g.>. This is still very high and may not be achievable with passive ballasting alone.

The analysis suggests that the full-scale wave heights and accelerations are significantly higher than those experienced by typical small boats like a 50-foot catamaran or 60-foot monohull. However, the calculated accelerations may be unrealistic due to scaling effects or underestimation of the model's response.

We recommend conducting another test with improved ballast distribution and higher wave conditions to better validate the scaling assumptions and refine the predictions.

Wave Height and Acceleration Analysis Based on the scaled model video and Froude scaling principles, here is the analysis for the full-scale design.

Wave Height and Acceleration Analysis
Based on the scaled model video and Froude scaling principles, here is the analysis for the full-scale design.