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ABSTRACT
A composite sandwich panel with a lattice truss cores is optimized to better realize the function integration of load support and thermal management. Combinatorial optimization problems are constituted by the formulated objectives for relative density, specific modulus, specific strength, and structural maximum temperature under active cooling. Multiobjective optimization is used to determine the Pareto fronts, revealing the sensitivities of each problem to subobjectives and subobjective to variables. Simply continuous functions are applied to acceptably characterize the obtained optimal solutions, providing more extensive feasibilities for the engineering application. The results indicate that single sensitivity to core height is dominated and near-optimal core strut inclination angle is 45°.
Nomenclature
| D | = | core strut diameter (m) |
| E | = | compressive modulus (Pa) |
| EΔT | = | temperature error (%) |
| = | relative compressive modulus | |
| Es | = | core strut compressive modulus (Pa) |
| f | = | sub objective |
| G | = | shear modulus (Pa) |
| = | relative shear modulus | |
| Hc | = | core height (m) |
| P | = | static pressure (Pa) |
| q″ | = | input heat flux (W/m2) |
| T | = | temperature (K) |
| X | = | length/longitudinal direction |
| Y | = | width/transverse direction |
| Z | = | height/depth direction |
| ρ | = | density (kg/m3) |
| = | relative density | |
| σ | = | compressive strength (Pa) |
| σY | = | core strut collapse strength (Pa) |
| τ | = | shear strength (Pa) |
| Ψ | = | breakpoint of angle (°) |
| ω | = | inclination angle (°) |
| Subscripts | = | |
| 0 | = | initial (reference) state |
| ∞ | = | distant incoming flow |
| CP | = | cumulative percentage |
| FD | = | frequency distribution |
| max | = | maximum value |
Nomenclature
| D | = | core strut diameter (m) |
| E | = | compressive modulus (Pa) |
| EΔT | = | temperature error (%) |
| = | relative compressive modulus | |
| Es | = | core strut compressive modulus (Pa) |
| f | = | sub objective |
| G | = | shear modulus (Pa) |
| = | relative shear modulus | |
| Hc | = | core height (m) |
| P | = | static pressure (Pa) |
| q″ | = | input heat flux (W/m2) |
| T | = | temperature (K) |
| X | = | length/longitudinal direction |
| Y | = | width/transverse direction |
| Z | = | height/depth direction |
| ρ | = | density (kg/m3) |
| = | relative density | |
| σ | = | compressive strength (Pa) |
| σY | = | core strut collapse strength (Pa) |
| τ | = | shear strength (Pa) |
| Ψ | = | breakpoint of angle (°) |
| ω | = | inclination angle (°) |
| Subscripts | = | |
| 0 | = | initial (reference) state |
| ∞ | = | distant incoming flow |
| CP | = | cumulative percentage |
| FD | = | frequency distribution |
| max | = | maximum value |