Abstract
A reasonable structural decomposition method is the foundation of studying the error propagation mechanism precisely. In this paper, a new Function-Motion-Action-Part (FMAP) structural decomposition method is proposed to analyze the mapping model between the geometric dimension of part and output errors of a mechanical product. First, the meta-action unit (MAU) theory is extended to the part layer, and the MAU structure and the MAU chain are redefined. Second, according to the coordination characteristics of the parts in MAU, the error expression model of the parts and the error propagation model of the MAU assembly process are established. The state-space model of the MAU output error is further established so as to complete the mapping model from the geometric dimension of manufactured parts to the precision of the MAU. Then, according to the characteristics of the kinematic error propagation between the MAUs, the input and output error indexes of the MAU chain are determined, and the error propagation model in the MAU chain is established based on the radial basis function network. Finally, the methodology is applied to a numerical control rotary table to verify the effectiveness of the FMAP structural decomposition method for the error propagation mechanism analysis.
Highlights
The precision analysis of mechanical product is the primary task to be solved in the design phases
Based on the Meta-Action Unit (MAU) theory, this paper presents a new Function-Motion-Action-Part (FMAP) structural decomposition method, which applied to analyze the error propagation mechanism
The output error index values of mechanical product, or in other words the final output error parameters of the MAU chain terminal, can be measured, which defined as K = [K1, K2, . . . , KJ ]
Summary
The precision analysis of mechanical product is the primary task to be solved in the design phases. The product is regarded as a multi-body system [3], and the error propagation path is determined according to the analysis of system topological structure This method is mainly to study the static accuracy of a few sub-assemblies decomposed from the product or several parts of a sub-assembly. These three structural decomposition methods are applied in different stage of the product manufacturing process, mainly to denote the subordinate relationship between part and product They cannot reflect the relative motion state, error, and force transfer relationship between parts. Based on the Meta-Action Unit (MAU) theory, this paper presents a new Function-Motion-Action-Part (FMAP) structural decomposition method, which applied to analyze the error propagation mechanism. The part layer contains all the parts that guarantee the movement of MAU, and only the features related to the action are considered for the shared part
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