Functional Structure Generation within Multi-structured Matrix Forms
نویسندگان
چکیده
In a design process products can be described by the requests of users, the requirements of design, functional structures, sketches and technical drawings [1]. The complexity, one of the main problems of conceptual design [2], is included into the modelling and representation of a design solution. To represent a design solution in its conceptual phase, and are of particular importance. The meaning of function can be explained in different ways [3]. According to [4] a function can be defined as the conversion of energy, material and information from the input into the output state. By a decomposition procedure the overall function of a product can be decomposed to partial functions necessary for the performance of the main function. The authors in [4] use “black box” in order to decompose the overall function to partial functions. A product description by a function generates the product functional structure. The functional structure can be represented in different ways. One of the ways is by graphs. This method is called graph grammar [5, 6]. Chakrabarti and Blessing [7] identify three ways of the function representation: verb-noun representation, input-output flow transformations and input-output state transformations. Žavbi [8] describes functions by the chaining of physical laws. To achieve standardization when modelling by functions a standard dictionary called the basics of functions is needed. The dictionary compiles a list of functions of 130 electro-mechanical devices. The works [10] generate the product conceptual variants by using design generated functions, Design repository, based on the the representation of function the representation of form
منابع مشابه
Multi-layer Hierarchical Structures and Factorizations
We propose multi-layer hierarchically semiseparable (MHS) structures for the fast factorizations of dense matrices arising from multi-dimensional discretized problems such as certain integral operators. The MHS framework extends hierarchically semiseparable (HSS) forms (which are essentially one dimensional) to higher dimensions via the integration of multiple layers of structures, i.e., struct...
متن کاملMulti-boiling Heat Transfer Analysis of a Convective Straight Fin with Temperature-Dependent Thermal Properties and Internal Heat Generation
In this study, by using the finite volume method, the heat transfer in a convective straight fin with temperature-dependent thermal properties and an internal heat generation under multi-boiling heat transfer modes are analyzed. In this regard, the local heat transfer coefficient is considered to vary within a power-law function of temperature. In the present study, the coexistence of all the b...
متن کاملErratum to: Multilevel Dynamic Generalized Structured Component Analysis for Brain Connectivity Analysis in Functional Neuroimaging Data.
We extend dynamic generalized structured component analysis (GSCA) to enhance its data-analytic capability in structural equation modeling of multi-subject time series data. Time series data of multiple subjects are typically hierarchically structured, where time points are nested within subjects who are in turn nested within a group. The proposed approach, named multilevel dynamic GSCA, accomm...
متن کاملHigh Performance Multi-GPU SpMV for Multi-component PDE-Based Applications
Leveraging optimization techniques (e.g., register blocking and double buffering) introduced in the context of KBLAS, a Level 2 BLAS high performance library on GPUs, the authors implement dense matrix-vector multiplications within a sparse-block structure. While these optimizations are important for high performance dense kernel executions, they are even more critical when dealing with sparse ...
متن کاملLanguage Dynamics in Structured Form and Meaning Spaces
This paper reviews how the structure of form and meaning spaces influences the nature and the dynamics of the form-meaning mappings in language. In general, in a structured form or meaning space, not all forms and meanings are equivalent: some forms and some meanings are more easily confused with each other than with other forms or meanings. We first give a formalization of this idea, and explo...
متن کامل