Tensegrity Structure Equilibrium Calculation Method

The patent segments the tensegrity structure into discrete compression members and tension members, establishing equilibrium equations for each node and member separately. This segmentation allows the complex global equilibrium problem to be broken down into manageable local equilibrium equations that can be solved systematically without requiring specialized software.

The patent develops a self-contained calculation method that determines feasible prestress directly from the structure's geometric and mechanical parameters. The method uses the structure's own equilibrium matrix and member properties to solve for prestress values, eliminating the need for external specialized software while maintaining theoretical rigor.

The patent transforms the prestress calculation problem from solving complex equilibrium matrix equations into a direct parameter calculation problem. By expressing prestress values as functions of member lengths, cross-sectional areas, and material properties, the method achieves accurate results through straightforward parameter substitution rather than iterative numerical solutions.

The patent extracts the essential geometric and mechanical parameters from the tensegrity structure (member lengths, cross-sectional areas, elastic moduli) and uses these extracted parameters to directly calculate prestress values. This extraction approach eliminates the need for complex iterative solving while maintaining accuracy by focusing on the critical parameters that determine prestress.

The patent performs preliminary calculation of member lengths and cross-sectional areas before determining prestress values. By pre-establishing the geometric configuration and mechanical properties of all members, the method creates a ready framework that simplifies the subsequent prestress calculation, making the entire process more operationally straightforward while maintaining thorough analysis.

The patent replaces complex mechanical analysis systems (equilibrium matrix decomposition, tensor norm methods) with a simplified direct calculation approach. By substituting the mechanical solution framework with direct parameter-based calculations, the method maintains analytical thoroughness while dramatically improving ease of operation and implementation.