Dynamic analysis of large structures by modal synthesis techniques

Hurty, Walter C.; Collins, Jon D.; Hart, Gary C.

doi:10.1016/0045-7949(71)90029-0

Cited by 74 publications

(16 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…In a similar manner, the weak form for the #apwise motion is derived by multiplying equation (16) by the weighting function w N and then integrating the equation by parts: It is noted that the natural boundary conditions given by equation (18) are satis"ed by the above weak forms. Next, consider the local description of the deformations in an element.…”

Section: Finite Element Analysismentioning

confidence: 99%

“…This modelling method employs the Cartesian deformation variables and the linear Cauchy strain measures. It has several merits such as simplicity of formulation, ease of implementation in "nite elements methods, and e$ciency of computation which results from the use of co-ordinate reduction techniques [16,17]. This modelling method, however, often provides erroneous results when structures undergo overall motion such as rotation.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Dynamic Analysis of a Rotating Cantilever Beam by Using the Finite Element Method

Chung

Yoo

2002

Journal of Sound and Vibration

190

View full text Add to dashboard Cite

Section: Finite Element Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of a Rotating Cantilever Beam by Using the Finite Element Method

Chung

Yoo

2002

Journal of Sound and Vibration

190

View full text Add to dashboard Cite

“…This modelling method has several merits such as simplicity of formulation, ease of implementation in "nite element methods, and availability of the co-ordinate reduction technique [4], which enables one to save enormous computation time for the dynamic analysis of structures. However, this modelling method often provides erroneous dynamic analysis results for the structures undergoing overall motion.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of Rectangular Plates Undergoing Prescribed Overall Motion

Yoo

Chung

2001

Journal of Sound and Vibration

View full text Add to dashboard Cite

“…(18). One is size optimization of the initial model that has 7,350 solid elements and 2,450 shell elements.…”

Section: Example For Verification Of the Design Processmentioning

confidence: 99%

“…In general, the construction methods of the superelements use the Guyan reduction, the generalized dynamic reduction (GDR) and the component mode synthesis (CMS) method [14,15]. In this study, the component mode synthesis (CMS) method, which was proposed by Hurty in 1960, is used [16][17][18]. The CMS method is an effective method for dynamic analysis with very large and/or complex structures.…”

Section: Introductionmentioning

confidence: 99%

Structural optimization of an automobile transmission case to minimize radiation noise using the model reduction technique

Choi

Lee

et al. 2011

J Mech Sci Technol

View full text Add to dashboard Cite

Vehicles should provide a comfortable environment for passengers. The noise from the transmission case is one of the causes of an uncomfortable environment. The transmission is composed of gears, shafts, bearing and cases. When transmission activity occurs, noise is transferred to the passengers through the transmission case. Design of the transmission case is performed in order to reduce the transmission noise. Acoustic analysis is carried out and structural optimization is utilized for the design to reduce the noise. Generally, the boundary element method (BEM) has been utilized for acoustic analysis. However, it is difficult to utilize the boundary element method in structural optimization because the cost to calculate the sensitivity information is fairly expensive. Instead, the finite element method (FEM) is employed for calculating the radiation noise of the transmission. Radiation noise is considered as the total noise from the transmission. Radiation noise is calculated at the outside of the transmission case and it can be expressed indirectly by multiplication of the velocity in the normal direction of the finite elements, the radiation efficiency and the characteristic acoustic impedance. The high frequencies are dominant for the transmission noise and the radiation efficiency is 1 at the high frequency range. Since the characteristic acoustic impedance has a constant value, the noise is the same as the norm of the velocity. The velocity of each finite element is calculated from modal analysis and the noise is expressed based on the average velocity of the vibrating structure. However, a long computation time is required to calculate the noise in a large scale structure such as a transmission. Thus, the entire model of transmission is condensed into the reduced model by the model reduction technique. The component mode synthesis (CMS) method is employed for the model reduction technique. The CMS method is an effective method for dynamic analysis of large and/or complex structures. The reduced model keeps the dynamic characteristics of the entire structure and it is used for structural optimization. In structural optimization, the design variables are the thicknesses of the groups of the transmission cases, the objective function is the mass of the structure and a constraint is imposed on the noise. An alternative formulation is made by exchanging the objective and constraint functions. The optimization results are discussed in terms of practical application.

show abstract

Dynamic analysis of large structures by modal synthesis techniques

Cited by 74 publications

References 5 publications

Dynamic Analysis of a Rotating Cantilever Beam by Using the Finite Element Method

Dynamic Analysis of a Rotating Cantilever Beam by Using the Finite Element Method

Dynamics of Rectangular Plates Undergoing Prescribed Overall Motion

Structural optimization of an automobile transmission case to minimize radiation noise using the model reduction technique

Contact Info

Product

Resources

About