A High-Precision Curved Shell Finite Element

The dynamic response of hyperboloidal shells on discrete column supports is studied using a curved rotational shell finite element. In this finite element formulation, the displacement field over each element domain is approximated by polynomial functions in which the coefficients of the linear terms correspond to the nodal values of the displacements and the higher order terms vanish at the nodal circles. The stiffness and mass matrices associated with the equations of motion are derived from Hamilton's variational principle and include the effects of transverse shearing deformation and rotatory inertia. Since the formulation, as such, involves a great many degrees of freedom because of the use of higher order displacement functions, the kinematic condensation technique is employed to reduce the order of the dynamic problem The dynamic analysis indicates the importance of realistically modelling the base region of the shell. Studies on a prototype tower indicates that the base flexibility reduces the natural frequencies of the shell and increases the displacements near the base. The magnitude of this reduction, which could be significant, depends primarily on the tangential stiffnesses of the supporting columns and is hardly affected by the thickened ring beam at the base.

show abstract

Dynamic analysis of column‐supported hyperboloidal shells

Gould

Sen

Suryoutomo

1973

Earthq Engng Struct Dyn

View full text Add to dashboard Cite

show abstract

Stresses in column‐supported hyperboloidal shells subject to seismic loading

Gould

Suryoutomo

Sen

1977

Earthq Engng Struct Dyn

Self Cite

View full text Add to dashboard Cite

The computation of stresses within a finite element displacement method analysis of a shell of revolution is considered. The common procedure of applying the kinematic and constitutive laws to the displacement functions is examined and justified for models where the displacements are represented by high‐order polynomial expansions. Also, two alternative computational formats within this technique are explored. The influence of the column‐supported base condition on a hyperboloidal shell of revolution is studied with respect to the stresses calculated from a response spectrum analysis. These studies emphasize the importance of accurately modelling the base region of a column‐supported shell such as a hyperbolic cooling tower.

show abstract

Complex response analysis of shells of revolution including uniform base translation and rocking

Lee

Gould

1984

Earthq Engng Struct Dyn

View full text Add to dashboard Cite

SUMMARYA complex response algorithm for the dynamic analysis of axisymmetric thin shells supported on an interactive foundation is developed. The substructure deletion method is employed through the utilization of a dynamic boundary system at the contact area between the superstructure and the substructure. A new mathematical formulation in conjunction with the shell behaviour is developed to deal with rigid body motions due to the negation of the fixed base assumption. Four foundation conditions, that is, a fixed base, two pile foundation cases and a flexible base, are considered to examine the effect of base flexibility on the seismic response of cooling towers. Also, excellent comparative results between the frequency domain solution and a time domain solution are obtained.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

A High-Precision Curved Shell Finite Element

Abstract: ThemeA REFINED finite element procedure applicable to the static analysis of arbitrarily loaded, thin elastic shells of revolution is developed based on a thin shell theory including the effect of transverse shear deformations.

Cited by 12 publications

References 0 publications

Dynamic analysis of column‐supported hyperboloidal shells

Dynamic analysis of column‐supported hyperboloidal shells

Stresses in column‐supported hyperboloidal shells subject to seismic loading

Complex response analysis of shells of revolution including uniform base translation and rocking

Contact Info

Product

Resources

About