Study on the Existence of Sign-Changing Solutions of Case Theory Based a Class of Differential Equations Boundary-Value Problems

By using the fixed point theorem under the case structure, we study the existence of sign-changing solutions of A class of second-order differential equations three-point boundary-value problems, and a positive solution and a negative solution are obtained respectively, so as to popularize and improve some results that have been known.

Integration of axiomatic design and theory of inventive problem solving for conceptual design

Axiomatic design (AD) and theory of inventive problem solving (TRIZ) are widely used in conceptual design. Both of them have limitations, however. We presented an integrated model of these two methods to increase the efficiency and quality of the problem solving process for conceptual design. AD is used for systematically defining and structuring a problem into a hierarchy. Sometimes, the design matrix is coupled in AD which indicates the functional requirements are coupled. TRIZ separation principles can be used to separate non-independent design parameters, which provide innovative solutions at each hierarchical level. We applied the integrated model to the heating and drying equipment of bitumen reproduction device. The result verifies that the integrated model can work very well in conceptual design.

SOLUTIONS TO DISCRETE MULTIPARAMETER PERIODIC BOUNDARY VALUE PROBLEMS INVOLVING THE p-LAPLACIAN VIA CRITICAL POINT THEORY

In this paper, we consider the existence of three nontrivial solutions for a discrete non-linear multiparameter periodic problem involving the p-Laplacian. By using the similar method for the Dirichlet boundary value problems in [C. Bonanno and P. Candito, Appl. Anal., 88（4） （2009）, pp. 605-616], we construct two new strong maximum principles and obtain that the boundary value problem has three positive solutions for λ and μ in some suitable intervals. The approaches we use are the critical point theory.

Existence of Sign-changing Solution for Three-point Boundary Value Problems

In this paper, by using the fixed-point index theory, we study the existence of sign-changing solution of some three-point boundary value problems {y ''(t) + f(y) = 0, t ∈ [0, 1], y' (0) = 0, y(1) = αy(η), where 0 < α < 1, 0 < η < 1, f : R → R is continuous, strictly increasing and f(0) = 0.

Existence and Multiplicities of Solutions for Asymptotically Linear Ordinary Differential Equations Satisfying Sturm-Liouville BVPs with Resonance

In this paper, we prove existence and multiplicities of solutions for asymptotically linear ordinary differential equations satisfying Sturm-Liouville boundary value conditions with resonance. Adding assumption H3 that is similar to (LL) in Theorem 1.1, by index theory and Morse theory, we obtain more nontrivial solutions.

Evaluation of a Novel Approach for Automated Inventive Conceptual Design of Building Structures

This research is dedicated to assessment of a method that was earlier proposed and developed in order to increase the degree of automation and software involvement into conceptual decision making during design of structural elements of buildings. Such instruments of the theory of inventive problem solving as contradiction and function analysis and trimming formed the basis of the proposed approach that was realized in a modern building information modeling software. The common logic of the approach is also provided in the article. Qualitative research methods and particularly collecting, analyzing and interpreting data were applied in this research. Firstly, a literature review of indexed journal articles in the field of the study was performed and some trends for possible development of the topic were identified. Secondly, a survey of potential users of the methodology was conducted and analyzed. The questionnaire results showed that the suggested method and its technical realization gained attraction among respondents, however, some of them are rather cautious regarding application of the approach potentials in their practice. The paper ends with evaluation results discussion, conclusion and proposals for further research.

夹层板弯曲问题的Hoff理论的解析解

本文根据Ｈｏｆ提出的夹层板理论和胡海昌、柳春图对该理论的简化理论，提出了矩形夹层板弯曲问题的解析解的一般格式，它可以用于求解各种边界条件下矩形夹层板弯曲问题的Ｈｏｆ理论的解析解。从而，使得考虑表层抗弯刚度的矩形夹层板弯曲问题求解格式化。

Some recent advances in 3D crack and contact analysis of elastic solids with transverse isotropy and multifield coupling

Significant progress has been made in mixed boundary-value problems associated with three-dimensional（3D） crack and contact analyses of advanced materials featuring more complexities compared to the conventional isotropic elastic materials.These include material anisotropy and multifield coupling,two typical characteristics of most current multifunctional materials.In this paper we try to present a state-of-the-art description of 3D exact/analytical solutions derived for crack and contact problems of elastic solids with both transverse isotropy and multifield coupling in the latest decade by the potential theory method in the spirit of V.I.Fabrikant.whose ingenious breakthrough brings new vigor and vitality to the old research subject of classical potential theory.We are particularly interested in crack and contact problems with certain nonlinear features.Emphasis is also placed on the coupling between the temperature field（or the like） and other physical fields（e.g.,elastic,electric,and magnetic fields）.We further highlight the practical significance of 3D contact solutions,in particular in applications related to modern scanning probe microscopes.

Conceptual Design of Natural Fiber Composites as a Side-Door Impact Beam Using Hybrid Approach

This paper presents the conceptual design stage in the product development process of a natural fiber composites of the side-door impact beam,which starts from idea generation to the selection of the best design concept.This paper also demonstrates the use of the integrated Theory of Inventive Problem Solving(Function-Oriented Search)(TRIZ(FOS))and Biomimetics method,as well as the VIseKriterijumska Optimizacija I Kompromisno Resenje(VIKOR)method.The aim of this study was to generate design concepts that were inspired by nature and to select the best design concept for the composite side-door impact beam.Subsequently,eight design concepts were generated using the TRIZ(FOS)-Biomimetics method and finite element analysis were used to analyse their performance and weight criteria using ANSYS software.VIKOR method was used as the multiple criteria decision making tools to compare their performances,weight and cost criteria.As a result,design concepts B-03 and C-02 were ranked as the first and second best,with VIKOR value of 0.0156 and 0.1178,respectively,which satisfied the conditions in VIKOR method.This paper shows that the integrated method of TRIZ(FOS)-Biomimetics and VIKOR can assist researchers and engineers in developing designs that are inspired by nature,as well as in selecting the best design concept using a systematic strategy and justified solutions during the conceptual design stage.

3-D rheologic model of earthquake preparation (Ⅱ): Strain field and its applications

On the basis of the three-dimensional elastic inclusion model, the analytic expression of viscoelastic strain field is derived, i.e., the analytic expression of viscoelastic strain at an arbitrary point (x, y, z) in x-axis, y-axis and z-axis produced by three-dimension inclusion in the semi-infinite rheologic medium defined by the standard linear rheologic model, namely the normal strains exx(r, t), eyy(r, t) and ezz(r, t), the shear strains exy(r, t) and eyx(r, t), eyz(r, t) and ezy(r, t), exz(r, t) and ezx(r, t), and the bulk-strain q (r, t). By computing the spatial-temporal variation of bulk strain on the ground produced by a spherical rheologic inclusion in a semi-infinite rheologic medium, we obtained some significant results that the bulk-strain variation with time produced by a hard inclusion has three stages (a, b, g) with different characteristics, which are similar to those of most geodetic deformation curves, but not the case for those by a soft inclusion. It is meaningful that these theoretical results have been applied to explain preliminarily the characteristics of stage variation of spatial-temporal evolution, the pattern and quadrant distribution of earthquake precursors, the changeability, spontaneity and complexity of short-term and imminent-term precursors. It offers a theoretical base to found the physical model of earthquake precursors and a reference to predict physically the earthquakes.

A Study on Conceptual Design of Mechatronic System

The conceptual design of mechatronic systems is addressed under the thrust of concurrent engineering and an enhanced conceptual design methodology describing the early design stage of mechatronic systems is presented through an example illustration of a pick and place robot.This methodology treats each feasible solution as a solution strategy.In the methodology,Quality Function Deployment(QFD)is used as a baseline for the analysis of the mapping from customers to engineering requirements,Axiomatic Design(AD)is adopted as a guideline to generate feasible,good design solution alternatives,and Theory of Inventive Problem Solving(TRIZ)is applied to deal with domain conflicts in design.

Semigroup of Weakly Continuous Operators Associated to a Generalized Schrödinger Equation

In this work, we prove the existence and uniqueness of the solution of the generalized Schrödinger equation in the periodic distributional space P’. Furthermore, we prove that the solution depends continuously respect to the initial data in P’. Introducing a family of weakly continuous operators, we prove that this family is a semigroup of operators in P’. Then, with this family of operators, we get a fine version of the existence and dependency continuous theorem obtained. Finally, we provide some consequences of this study.

TRIZ TECHNOLOGY FORECASTING AS QFD INPUT WITHIN THE NPD ACTIVITIES

As a result of the fierceness of business competition, companies, to remaincompetitive, have to charm their customers by anticipating their needs and being able to rapidlydevelop exciting new products for them. To overcome this challenge, technology forecasting isconsidered as a powerful tool in today's business environment, while there are as many successstories as there are failures, a good application of this method will give a good result. Amethodology of integration of patterns or lines of technology evolution in TRIZ parlance ispresented, which is also known as TRIZ technology forecasting, as input to the QFD process to designa new product. For this purpose, TRIZ technology forecasting, one of the TRIZ major tools, isdiscussed and some benefits compared to the traditional forecasting techniques are highlighted. Thena methodology to integrate TRIZ technology forecasting and QFD process is highlighted.

The Conceptual Design Method for a Pumping Unit Based on QFD and TRIZ

Quality function deployment （QFD） is a quality system, that can help to design novel products that meet customers＇ needs. Theory of inventive problem solving （TRIZ） is a very powerful tool in helping to solve difficult technical problems encountered in the design process. Introducing QFD and TRIZ into the conceptual design of the pumping unit combines advantages of these two theories, therefore meeting different demands of different users. It can tell us “What should we do it” with QFD and “How should we do it” with TRIZ. The conceptual design method, which is based on QFD and TRIZ, is introduced andused to analyze and evaluate the conceptual design project of a pumping unit.

EXISTENCE OF SOLUTIONS TO A CLASS OF NONLINEAR n-DIMENSIONAL DISCRETE BOUNDARY VALUE PROBLEMS

In this paper,using the critical point theory,we obtain a new result on the existence of the solutions to a class of n-dimensional discrete boundary value problems.Results obtained extend or improve the existing ones.

基于OPM的协同创新设计过程模型

为了提高团队在协同创新设计过程中的集体创造力,提出一种基于对象过程方法论(OPM)的协同创新设计过程模型。利用OPM模型和OPCloud在线建模平台作为团队沟通交流的基础,结合OPM模型和集成功能模型(IFM),协同团队成员对导致表面问题的根原因进行全面分析。结合强势思维一般理论(OTSM)中的ENV模型和可拓学的共存度函数完成对冲突问题的管理和验证,采用TRIZ问题求解工具分析并解决问题,获得初步创新方案。针对初步方案可能存在衍生问题的情况,构建半效解衍生问题网,通过方案组合和迭代求解的方式获得综合方案。最后,以聚乙烯(PE)热熔焊机为例,验证了该模型的有效性。

基于需求分析和TRIZ的草莓采摘机器人产品创新方法研究

目的当前我国草莓种植方式普遍较为传统,而草莓的采摘、分拣、收获环节需耗费大量人工劳动力,因此设计出适用于地垄式栽培的草莓采摘机器人具有现实意义。方法围绕人-机-环境三方面探究设计需求,提出融合FBS模型与TRIZ理论的设计方法,并探究数字仿真模型如何在设计流程中辅助功能结构优化。构建草莓采摘机器人设计方法理论框架,同时使用数字内容生成软件搭建场景模型及机器人模型以辅助生成设计方案。结果使用轨迹仿真与动力学仿真插件,对机器人的机械臂运动空间、果实夹持组件及行走机构进行模拟,设计方案被初步验证可行。结论该框架能够客观地从多维度信息中获取产品核心需求,并引入数字仿真工具,将其与功能结构分析和发明问题解决理论结合到设计过程中,用于农业机器人的创新设计方法探索。

融合发明问题解决理论与可拓学的多冲突网简化与求解策略

针对因产品系统功能复杂程度高而导致的多冲突网络求解过程繁琐的问题,研究了多冲突网的简化与求解策略。首先,通过可拓基元模型对冲突进行描述,结合基于功能模型的因果分析法构建多冲突网络,从冲突在网络中的拓扑特性和客户需求程度两个方面应用优劣解距离法(TOPSIS)构建综合评价体系,挖掘网络中的关键冲突。然后,提出了关键子冲突网络的拆解方法,将与关键冲突相关的冲突提取出来形成子冲突网。最后,提出了多冲突网简化规则,通过可拓变换对冲突间相关关系进行解除,将简化后的子冲突网进行整合,运用TRIZ工具对关键冲突进行求解,从而提出了多冲突网简化与求解策略。以爬楼轮椅为实例进行分析,验证了该策略的可行性和有效性。

基于QFD和TRIZ的高龄辅助阅读产品设计策略研究

目的消极的老化态度使高龄者产生生理、心理等多方面的负面感受。高龄辅助阅读产品能够帮助高龄者自主阅读,助力终身学习,维持新知获取。在学习中养老,来保持高龄者与社会链接。方法在质量功能展开(QFD)的研究中,利用网络爬虫收集商品评价数据(京东商城/约30000条,亚马逊商城/约15000条),形成评价词汇库。再结合情景假设分析,确定高龄辅助阅读产品的顾客需求项目,并转换为设计要求项目。其次,经KJ法分类顾客需求和设计要求,通过调查60岁以上高龄者的104份有效问卷,以计算顾客需求重要度;再由独立配点法将顾客需求重要度转换为设计要求重要度,构建产品质量屋。最后,引入创造性解决任务理论(TRIZ)的物理矛盾、技术矛盾,以及物-场模型对产品深入分析,经分离原理、发明原理、标准解系统对产品设计矛盾求解。结果经QFD-TRIZ模型提出高龄辅助阅读产品的设计策略和实践方案。结论整合QFD-TRIZ关联模型,围绕高龄辅助阅读产品研究分析,为未来的高龄辅助阅读产品设计提供了具体指标,拓展了QFD-TRIZ方法在高龄者产品设计研究范畴,并构建了逻辑性和系统性的设计研究模型。

基于TRIZ理论的多重防水功能皮革的工艺设计

为提高皮革产品的防水性能,基于TRIZ理论,在前期防水研究的基础上,集成了基于复鞣防水、填充防水、加脂防水与表面防水的多层叠加-复合的防水体系,制备了具有优异动态防水和静态防水性能的防水功能皮革,并采用FTIR、SEM、EDS、XPS等进行了表征。试验结果表明,皮革防水性能优异,其中静态吸水量<14 g/2h,动态防水次数超过20万次,水接触角接近130°。与此同时,该防水功能皮革还具有较好的涂层性能、物理机械性能和感官性能,较传统皮革相比,均有所提升。这为防水功能皮革的生产与应用提供了一种新途径。