• Title/Summary/Keyword: Symbolic Equation

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Automatic Generation of Dynamic Equations for Robotic Manipulatorsa (로보트 매니퓨레이터의 동적방정식의 자동 생성에 관한 연구)

  • 원태현;황창선
    • 제어로봇시스템학회:학술대회논문집
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    • 1987.10b
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    • pp.19-22
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    • 1987
  • A program is developed for generations the dynamic equations for robotic manipulators using the symbolic language muSIMP/MATH. The muSIMP/MATH is a LISP-based computer algebra package, devoted to the manipulation of algebraic expressions including number, variables, functions, and matrix. The muSIMP/MATH can operate on IBM-PC compatibles with MS-DOS. The program is developed, on the e formalism. This is program is applicable to the manipulators of any number of degrees of freedom, maximum six degree of freedom in this program. To control robotic manipulators by using dynamic equation is required a symbolic equations. The generated dynamic equation can be applied directly to the robotic manipulators, for the generated dynamic equation is a reduced form of symbolic expression.

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Symbolic computation and differential quadrature method - A boon to engineering analysis

  • Rajasekaran, S.
    • Structural Engineering and Mechanics
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    • v.27 no.6
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    • pp.713-739
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    • 2007
  • Nowadays computers can perform symbolic computations in addition to mere number crunching operations for which they were originally designed. Symbolic computation opens up exciting possibilities in Structural Mechanics and engineering. Classical areas have been increasingly neglected due to the advent of computers as well as general purpose finite element software. But now, classical analysis has reemerged as an attractive computer option due to the capabilities of symbolic computation. The repetitive cycles of simultaneous - equation sets required by the finite element technique can be eliminated by solving a single set in symbolic form, thus generating a truly closed-form solution. This consequently saves in data preparation, storage and execution time. The power of Symbolic computation is demonstrated by six examples by applying symbolic computation 1) to solve coupled shear wall 2) to generate beam element matrices 3) to find the natural frequency of a shear frame using transfer matrix method 4) to find the stresses of a plate subjected to in-plane loading using Levy's approach 5) to draw the influence surface for deflection of an isotropic plate simply supported on all sides 6) to get dynamic equilibrium equations from Lagrange equation. This paper also presents yet another computationally efficient and accurate numerical method which is based on the concept of derivative of a function expressed as a weighted linear sum of the function values at all the mesh points. Again this method is applied to solve the problems of 1) coupled shear wall 2) lateral buckling of thin-walled beams due to moment gradient 3) buckling of a column and 4) static and buckling analysis of circular plates of uniform or non-uniform thickness. The numerical results obtained are compared with those available in existing literature in order to verify their accuracy.

Generalized Kinematic Analysis for the Motion of 3-D Linkages using Symbolic Equation (기호방정식을 이용한 3차원 연쇄기구 운동해석의 일반화)

  • 김호룡
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.1
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    • pp.102-109
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    • 1986
  • Based on the Hartenberg-Denavit symbolic equation, which is one of equations for the kinematic analysis of three dimensional (3-D) linkage, a generalized kinematic motion equation is derived utilizing Euler angles and employing the coordinates transformation. The derived equation can feasibly be used for the motion analysis of any type of 3-D linkages as well as 2-D ones. In order to simulate the general motion of 3-D linkgages on digital computer, the generalized equation is programmed through the process of numerical analysis after converting the equation to the type of Newton-Raphson formula and denoting it in matrix form. The feasibility of theoretically derived equation is experimentally proved by comparing the results from the computer with those from experimental setup of three differrent but generally empolyed 3-D linkages.

Analytic Linearization of Symbolic Nonlinear Equations (기호 비선형 방정식의 해석적 선형화)

  • Song, Sung-Jae;Moon, Hong-Ki
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.6
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    • pp.145-151
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    • 1995
  • The first-order Taylor series expansion can be evaluated analytically from the formulated symbolic nonlinear dynamic equations. A closed-form linear dynamic euation is derived about a nominal trajectory. The state space representation of the linearized dynamics can be derived easily from the closed-form linear dynamic equations. But manual symbolic expansion of dynamic equations and linearization is tedious, time-consuming and error-prone. So it is desirable to manipulate the procedures using a computer. In this paper, the analytic linearization is performed using the symbolic language MATHEMATICA. Two examples are given to illustrate the approach anbd to compare nonlinear model with linear model.

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Roles of Social Identity Verification in the Effects of Symbolic and Evaluation Relevance on Chinese Consumers' Brand Attitude

  • Choi, Nak-Hwan;Xu, Huimin;Teng, Zhuoqi
    • Asian Journal of Business Environment
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    • v.8 no.4
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    • pp.17-27
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    • 2018
  • Purpose - Current study aimed at investigating the symbolic and evaluation relevance to global luxury brands as the causes of inducing social identity verification, and also explored whether the social identity verification will affect the attitude toward the brands. Research design, data, and methodology - 323 questionaries from Chinese consumers were used to test hypotheses by structural equation model of AMOS 22.0. Results - First, social identity verification positively affected on the brand attitude. Second, both the symbolic relevance and the evaluation relevance positively affected on social identity verification. Third, the mediation roles of social identity verification were identified. Social identity verification played a full mediation role in the effect of the symbolic relevance on the brand attitude, and played a partial mediation role in the effect of the evaluation relevance on the brand attitude. Conclusions - This study could contribute to the advancement of theory concerned with the roles of consumers' social identity verification which induces positive attitude toward the global luxury brands. Global brand managers in China should try to search ways by which consumers can feel both the symbolic relevance and evaluation relevance to their luxury brands, and should make efforts to improve the symbolic relevance and evaluation relevance to their brand.

Analysis of Spatial Mechanism Using Symbolic Computation (기호예산을 이용한 공간기구의 해석)

  • 이동민;윤용산
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.6
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    • pp.1509-1517
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    • 1993
  • The purpose of this study is to develop a program for the automatic derivation of the symbolic equations necessary for the kinematic and dynamic analyses of the spatial mechanism. For this purpose, a symbolic manipulation package called MCSYMA is used. Every symbolic equation is formulated using relative joint coordinate to obtain the numerically efficient system equations. These equations are produced in FORTRAN statements and linked to a FORTRAN program for numerical analysis. Several examples are taken for comparison with the commercial package called DADS which is using Cartesian coordinate approach. Also, this symbolic formulation approach is compared with a conventional numerical approach for an example. The results show that this symbolic approach with relative joint coordinate system is most efficient in computational time among three and is recommended for the derivation of macro elements frequently used.

Symbolic modeling of a 4-bar link flexible manipulator (4절기구를 가진 유연한 조작기의 기호적 모델링)

  • 이재원;주해호
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.559-564
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    • 1993
  • Nonlinear equation of motion of the flexible manipulator are derived by the Lagrangian method in symbolic form to better understand the structure of the dynamic model. The resulting equations of motion have a structure which is useful to reduce the number of terms calculated, to check correctness, or to extend the model to high order. A manipulator with a flexible 4 bar link mechanism is a constrained system whose equations are sensitive to numerical integration error. This constrained system is solved using the null space matrix of the constraint Jacobian matrix. Singular value decomposition is a stable algorithm to find the null space matrix.

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A Case Study:A Learning System for Finding the Ranges of Transcendental Functions (초월함수 치역을 구하는 문제를 통한 학습시스템 모델에 관한 연구)

  • 김일곤;유석인
    • Korean Journal of Cognitive Science
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    • v.1 no.1
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    • pp.103-127
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    • 1989
  • Learning systems by using examples have been developed which include ALEX, LP, and LEX.Specially Silver's LP systems suggerts the method to use a seyuence of operators, which was applied to the worked example, to sove a symbolic equation.This paper presents the new learning system, called LRD, in which generalization and discrimination steps are suggerted to solv all the problems similar to the worked example.The system LRD is illustrated by the problem of finding the ranges of transcendentral functions and compared to LP and LEX by the problems discussed in them.

Influence of Older Consumers' Future Time Perspective on the Intention to Purchase Masstige Brand Fashion Products

  • Hyeyoon BAE
    • The Journal of Economics, Marketing and Management
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    • v.11 no.4
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    • pp.89-99
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    • 2023
  • Purpose: This study explores the relationship between future time perspective and older consumers' masstige product consumption, specifically, their intention to purchase masstige brand products, with a focus on their motivational drives from an functional value and symbolic value perspective. Research design, data and methodology: Data were collected through an online questionnaire from 419 people aged 54 to 64 years in South Korea and the hypotheses were examined using structural equation modeling. Results: Our results indicated that middle-aged and older consumers who have expanded future time perspective have higher intention to purchase masstige brands and their functional value and symbolic value of masstige brands were found to mediate future time perspective and intention to purchase masstige brands. Conclusions: The findings offer insights into masstige brand consumption by older South Korean consumers that may be useful for both academics and marketers.

A Development of Tentative Measuring items of Korean Corporate Symbolic Image using brand personality (브랜드 개성 항목을 활용한 한국 기업의 상징적 이미지 측정 도구 시안 개발)

  • Oh, Ju-Yeon;Kim, Young-Kyun
    • Journal of Korea Society of Industrial Information Systems
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    • v.17 no.3
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    • pp.83-94
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    • 2012
  • This study was designed to identify and develop the measurement items of symbolic image (personality) of most preferred Korean companies in adaptation of prior research of brand personality. From the common factor analysis, factors were extracted to five dimensions: Sincerity, Competence, Affection, Excitement, and Sophistication. In this survey, we collected data from the 558 respondents and performed a structural equation model using AMOS 16.0. The result of the confirmatory factor analysis indicated that the measurement model of Korean corporate symbolic image could be effectively used to envision the personality of Korean companies with similar context of brand personality research. Furthermore, this empirical study showed interesting results. One of unique Korean emotions, affection factor, was derived from this research as well and it is also proven that the Korean-corporate symbolic image could be used to measure the corporate personality and it should be continuously reinterpreted with deviation of socio-cultural changes rather than adhering to standardized paradigm.