First Order Analysis for Automotive Body Structure Design - Part 4: Noise and Vibration Analysis Applied to a Subframe

2004 ◽  
Author(s):  
Toshiaki Nakagawa ◽  
Hidekazu Nishigaki ◽  
Yasuaki Tsurumi ◽  
Noboru Kikuchi
Keyword(s):  
Vibration Analysis ◽  
Structure Design ◽  
Body Structure ◽  
Noise And Vibration ◽  
Order Analysis ◽  
First Order ◽  
Automotive Body

First Order Analysis for Automotive Body Structure Design-Part 2: Joint Analysis Considering Nonlinear Behavior

2004 ◽  
Author(s):  
Yasuaki Tsurumi ◽  
Hidekazu Nishigaki ◽  
Toshiaki Nakagawa ◽  
Tatsuyuki Amago ◽  
Katsuya Furusu ◽  
...  
Keyword(s):  
Nonlinear Behavior ◽  
Structure Design ◽  
Joint Analysis ◽  
Body Structure ◽  
Order Analysis ◽  
First Order ◽  
Automotive Body

First Order Analysis for Automotive Body Structure Design

2000 ◽  
Author(s):  
Hidekazu Nishigaki ◽  
Shinji Nishiwaki ◽  
Tatsuyuki Amago ◽  
Noboru Kikuchi
Keyword(s):  
Optimization Method ◽  
Structure Design ◽  
Optimal Designs ◽  
Body Structure ◽  
Analysis Model ◽  
Microsoft Excel ◽  
Order Analysis ◽  
First Order ◽  
Automotive Body ◽  
Basic Ideas

Abstract The concept of Computer Aided Engineering (CAE) was first proposed by J. Lemon at SDRC, and has been widely accepted in automotive industries. CAE numerically estimates the performance of automobiles and proposes alternative ideas that lead to the higher performance without building prototypes. However, most automotive designers cannot directly utilize CAE since specific well-trained engineers are required to achieve sophisticated operations. Moreover, CAE requires a huge amount of time and many modelers to construct an analysis model. In this paper, we propose a new concept of CAE, First Order Analysis (FOA), in order to overcome these problems and to quickly obtain optimal designs. The basic ideas include (1) graphic interfaces for automotive designers using Microsoft/Excel (2) use of sophisticated formulations based on the theory of mechanics of material, (3) the topology optimization method. Further, some prototypes of software are presented to confirm the method for FOA presented here.

First Order Analysis for Automotive Body Structure Design - Part 1: Overview and Applications

2004 ◽  
Author(s):  
Hidekazu Nishigaki ◽  
Tatsuyuki Amago ◽  
Hideki Sugiura ◽  
Yoshio Kojima ◽  
Shinji Nishiwaki ◽  
...  
Keyword(s):  
Structure Design ◽  
Body Structure ◽  
Order Analysis ◽  
First Order ◽  
Automotive Body

First Order Analysis - New CAE Tools for Automotive Body Designers

2001 ◽  
Author(s):  
Hidekazu Nishigaki ◽  
Shinji Nishiwaki ◽  
Tatsuyuki Amago ◽  
Yoshio Kojima ◽  
Noboru Kikuchi
Keyword(s):  
Order Analysis ◽  
First Order ◽  
Automotive Body

scholarly journals Euler-Bernoulli Beam Theory: First-Order Analysis, Second-Order Analysis, Stability, and Vibration Analysis Using the Finite Difference Method

2021 ◽  
Author(s):  
Valentin Fogang
Keyword(s):  
Finite Difference Method ◽  
Differential Equations ◽  
Vibration Analysis ◽  
Beam Theory ◽  
Second Order ◽  
Bernoulli Beam ◽  
Order Analysis ◽  
First Order ◽  
The Finite Difference Method ◽  
Euler Bernoulli Beam

This paper presents an approach to the Euler-Bernoulli beam theory (EBBT) using the finite difference method (FDM). The EBBT covers the case of small deflections, and shear deformations are not considered. The FDM is an approximate method for solving problems described with differential equations (or partial differential equations). The FDM does not involve solving differential equations; equations are formulated with values at selected points of the structure. The model developed in this paper consists of formulating partial differential equations with finite differences and introducing new points (additional points or imaginary points) at boundaries and positions of discontinuity (concentrated loads or moments, supports, hinges, springs, brutal change of stiffness, etc.). The introduction of additional points permits us to satisfy boundary conditions and continuity conditions. First-order analysis, second-order analysis, and vibration analysis of structures were conducted with this model. Efforts, displacements, stiffness matrices, buckling loads, and vibration frequencies were determined. Tapered beams were analyzed (e.g., element stiffness matrix, second-order analysis). Finally, a direct time integration method (DTIM) was presented. The FDM-based DTIM enabled the analysis of forced vibration of structures, the damping being considered. The efforts and displacements could be determined at any time.

scholarly journals Kirchhoff-Love Plate Theory: First-Order Analysis, Second-Order Analysis, Plate Buckling Analysis, and Vibration Analysis Using the Finite Difference Method

2021 ◽  
Author(s):  
Valentin Fogang
Keyword(s):  
Finite Difference ◽  
Vibration Analysis ◽  
Plate Theory ◽  
Second Order ◽  
Governing Equations ◽  
Order Analysis ◽  
First Order ◽  
Order Polynomial ◽  
The Finite Difference Method ◽  
Point Stencil

This paper presents an approach to the Kirchhoff-Love plate theory (KLPT) using the finite difference method (FDM). The KLPT covers the case of small deflections, and shear deformations are not considered. The FDM is an approximate method for solving problems described with differential equations. The FDM does not involve solving differential equations; equations are formulated with values at selected points of the structure. Generally in the case of KLPT, the finite difference approximations are derived based on the fourth-order polynomial hypothesis (FOPH) and second-order polynomial hypothesis (SOPH) for the deflection surface. The FOPH is made for the fourth and third derivative of the deflection surface while the SOPH is made for its second and first derivative; this leads to a 13-point stencil for the governing equation. In addition, the boundary conditions and not the governing equations are applied at the plate edges. In this paper, the FOPH was made for all of the derivatives of the deflection surface; this led to a 25-point stencil for the governing equation. Furthermore, additional nodes were introduced at plate edges and at positions of discontinuity (continuous supports/hinges, incorporated beams, stiffeners, brutal change of stiffness, etc.), the number of additional nodes corresponding to the number of boundary conditions at the node of interest. The introduction of additional nodes allowed us to apply the governing equations at the plate edges and to satisfy the boundary and continuity conditions. First-order analysis, second-order analysis, buckling analysis, and vibration analysis of plates were conducted with this model. Moreover, plates of varying thickness and plates with stiffeners were analyzed. Finally, a direct time integration method (DTIM) was presented. The FDM-based DTIM enabled the analysis of forced vibration of structures, with damping taken into account. In first-order, second-order, buckling, and vibration analyses of rectangular plates, the results obtained in this paper were in good agreement with those of well-established methods, and the accuracy was increased through a grid refinement.

Modular Structural Component Design Using the First Order Analysis and Decomposition-Based Assembly Synthesis

2001 ◽  
Author(s):  
Onur L. Cetin ◽  
Kazuhiro Saitou ◽  
Hidekazu Nishigaki ◽  
Shinji Nishiwaki ◽  
Tatsuyuki Amago ◽  
...  
Keyword(s):  
Optimization Method ◽  
Two Dimensional ◽  
Order Analysis ◽  
First Order ◽  
Automotive Body ◽  
Automated Method ◽  
Trade Offs ◽  
Component Design ◽  
Module Geometry ◽  
Topology Optimization Method

Abstract This paper discusses an automated method for designing modular components that can be shared within multiple structural products, such as automotive bodies for sibling vehicles. The method is an extension of the concept of decomposition-based assembly synthesis. A beam-based topology optimization method, originally developed for First Order Analysis (FOA) of the automotive body structures, is utilized in order to obtain the “base” structures subject to decomposition. It is expected that the method will facilitate the early decisions on module geometry in automotive body structures, by enhancing the capability of the FOA system. Several case studies with two-dimensional structures are reported to demonstrate the effectiveness of the proposed method. The results indicate that two structures optimized for a similar, but slightly different boundary loading conditions are successfully decomposed to contain a component that can be shared by the structures. Several Pareto optimal decompositions are presented to illustrate the trade-offs among multiple decomposition criteria, with different weights for each objective function.

Recent Tendency on Automotive Body Structure Design

2002 ◽  
Vol 2002.12 (0) ◽  
pp. 208-209
Author(s):  
Hitoshi HAGA ◽  
Haruo ISHIKAWA ◽  
Nobuyoshi ISHIBAI ◽  
Yasuyoshi UMEZU ◽  
Hirotaka SHIOZAKI ◽  
...  
Keyword(s):  
Structure Design ◽  
Body Structure ◽  
Automotive Body ◽  
Recent Tendency

scholarly journals Euler-Bernoulli Beam Theory: First-Order Analysis, Second-Order Analysis, Stability, and Vibration Analysis Using the Finite Difference Method

2021 ◽  
Author(s):  
Valentin Fogang
Keyword(s):  
Finite Difference Method ◽  
Differential Equations ◽  
Vibration Analysis ◽  
Beam Theory ◽  
Second Order ◽  
Bernoulli Beam ◽  
Order Analysis ◽  
First Order ◽  
The Finite Difference Method ◽  
Euler Bernoulli Beam

This paper presents an approach to the Euler-Bernoulli beam theory (EBBT) using the finite difference method (FDM). The EBBT covers the case of small deflections, and shear deformations are not considered. The FDM is an approximate method for solving problems described with differential equations (or partial differential equations). The FDM does not involve solving differential equations; equations are formulated with values at selected points of the structure. The model developed in this paper consists of formulating partial differential equations with finite differences and introducing new points (additional points or imaginary points) at boundaries and positions of discontinuity (concentrated loads or moments, supports, hinges, springs, brutal change of stiffness, etc.). The introduction of additional points permits us to satisfy boundary conditions and continuity conditions. First-order analysis, second-order analysis, and vibration analysis of structures were conducted with this model. Efforts, displacements, stiffness matrices, buckling loads, and vibration frequencies were determined. Tapered beams were analyzed (e.g., element stiffness matrix, second-order analysis). Finally, a direct time integration method (DTIM) was presented. The FDM-based DTIM enabled the analysis of forced vibration of structures, the damping being considered. The efforts and displacements could be determined at any time.

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