The Application Of Rotation Tensor For Mechanics Performance Of Multiphase Composite And The Experimental Measurement Of The Complex Shaped Object's Inertia Parameters

Based on the knowledge about elastic mechanics and rotation tensor, carried out both theoretical and experimental research:the theory part about the study on multi-phase particle reinforced composite materials'constitutive with arbitrary particle shape, orientation random distribution;experimental part about the experiment methods to measure heterogeneity, geometry, complex shape objects' inertia parameters.The first part is the study on multi-phase particle reinforced composite materials'constitutive whose particle shape is arbitrary, orientation random distribution. Particle reinforced composites by the enhanced particles (inclusions) and the substrate composition, with obvious non-uniformity and anisotropy properties. In particle reinforced composite inclusions'shape, size, orientation distribution are the main factors which affect the mechanical properties, new particle reinforced composite materials (such as metal matrix and ceramic matrix composite materials) in various sectors widely used which promotes awareness of the mechanical properties of particle reinforced composites-depth study. Introduce Inclusion Shape Function ISF to describe the shape and size of inclusions, with the rotation tensor R to describe the inclusions'spatial orientation, with the orientation distribution function ODF to describe the possible density finding the inclusions with the orientation R in the composite.Assuming that inclusions and matrix perfectly contact.Using elastic mechanics method and equivalent inclusion method we can solve the multi-phase particle reinforced composite materials' constitutive with arbitrary particle shape, orientation random distribution.Last use a numerical example to validate by MAPLE program.The second part is that the experimental means to measure heterogeneity, geometry, complex shape objects'inertia parameters. Inertial parameters of objects included objects'center of mass, moment of inertia and inertia. To measure the arbitrary complex shape object's inertia parameter, we build the inertial parameters inverted test bed spring. And it can be used for measurement of the object's inertia parameters with complex shape, its center of mass, moment of inertia can be inverted by objects in the four-spring test stand swing balance and the cycle, and use the rotation tensor to calculate. By measuring the inertial parameters of rectangular stones to verify the four-spring inverted test reliability and practicality. Finally let this measurement methods and test equipment used to measure heterogeneity, the shape of complex objects-automotive powertrain's inertia parameters.