Kinetic Shape Equations for Target Ground Reaction Forces
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Solution Overview
Problem
Existing technologies lack a systematic approach to determine the optimal kinetic shape for applications that require a specific reactive force response to an applied force, such as in shoe design for gait rehabilitation and prosthetics, where the interaction between the foot and the ground is critical for efficient motion and stability.
Innovation Solution
Derivation of two- and three-dimensional kinetic shape equations that allow for the design of shapes producing desired ground reaction forces by solving for the applied force and desired reactive force, using equations like Equations (11) and (32) to create shapes that generate specific RGRF and TGRF.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If kinetic shapes are used to provide desired reactive forces in applications like shoe design, then the reactive force response can be optimized for specific applications, but there is no systematic approach to determine the optimal kinetic shape
Solution Approach 1:
The patent applies parameter changes by developing mathematical equations that relate kinetic shape geometry parameters (radius, curvature, orientation) to the reactive forces they generate. By systematically varying these geometric parameters in the equations, designers can determine the optimal shape configuration for desired force responses in rehabilitation and prosthetic applications.
Solution Approach 2:
The patent implements feedback through iterative computational methods where the kinetic shape equations are solved to predict reactive forces, which then inform adjustments to the shape parameters. This closed-loop approach allows designers to refine kinetic shape designs until the desired force response is achieved, creating a systematic design process.
2Ease of operation
If kinetic shapes are incorporated into shoes for gait rehabilitation, then efficient motion and stability can be improved, but the design requires determining optimal shapes for specific force responses
Solution Approach 1:
The patent uses parameter changes to translate desired force response requirements into specific geometric parameters for kinetic shapes. The mathematical equations allow designers to adjust radius, curvature, and orientation parameters to achieve precise control over ground reaction forces, ensuring both gait efficiency and manufacturable geometries.
Solution Approach 2:
The patent applies preliminary action by using the kinetic shape equations to pre-determine the optimal geometry before manufacturing. Designers can calculate and finalize the exact shape parameters needed for specific rehabilitation goals, ensuring manufacturing precision is achieved through预先 calculation rather than trial and error.
3Reliability
If two- and three-dimensional kinetic shape equations are derived to produce desired ground reaction forces, then predictable reactive forces can be generated, but the mathematical derivation and solving process becomes complex
Solution Approach 1:
The patent applies segmentation by dividing the complex three-dimensional kinetic shape problem into more manageable components. The equations are developed to handle different dimensional cases (2D and 3D) separately, allowing designers to select the appropriate level of complexity for their specific application, thereby reducing the perceived mathematical complexity while maintaining predictive accuracy.
Data Source
AI summary
In one embodiment, a kinetic shape is designed by determining an applied force to be applied to an object that is to incorporate the kinetic shape, determining a reactive force that is desired to be produced in response to the applied force, inputting the applied force and the reactive force into a kinetic shape equation, and solving the equation to obtain the kinetic shape.