Optimal Design of Elastic Circular Sandwich Beams for Minimum Compliance

1970 ◽  
Vol 37 (3) ◽  
pp. 569-577 ◽  
Author(s):  
N. C. Huang ◽  
C. Y. Sheu
Keyword(s):  
Optimal Design ◽  
Total Weight ◽  
Sandwich Beams ◽  
Minimum Compliance ◽  
Ring Problem ◽  
Uniform Beam ◽  
End Conditions ◽  
Circular Rings

Elastic circular sandwich beams are designed for minimum compliance and given total weight. To treat the problem in a more realistic manner, the beams are regarded as extensible. Examples are given for the optimal design of circular rings and semicircular arches with different end conditions. The calculated optimal compliance is compared with the corresponding compliance of a uniform beam with identical weight. The optimal design with stress bounds is also investigated for the ring problem.

In-Plane Flexural Vibrations of Circular Rings

1969 ◽  
Vol 36 (3) ◽  
pp. 620-625 ◽  
Author(s):  
S. S. Rao ◽  
V. Sundararajan
Keyword(s):  
Natural Frequencies ◽  
Classical Equation ◽  
Circular Ring ◽  
Classical Formula ◽  
Free Ring ◽  
Circular Arcs ◽  
End Conditions ◽  
Circular Rings ◽  
Experimental Values ◽  
Fixed End

An equation of motion governing the free, in-plane vibrations of a circular ring is developed to include the effects of shear deformation and rotatory inertia. This equation is solved to find the natural frequencies of vibration of free rings and stiffened rings and the results compared with those given by a classical formula. The frequencies for a free ring are found to compare well with the experimental values of Kuhl [5]. Natural frequencies of circular arcs are calculated from the classical equation with hinged and fixed end conditions and the results compared with the approximate values given by Den Hartog [8, 9].

Assembly Integrity of Coaxial Rigid Parts Positioned by Congruent Conical Pilots. Part 1: R-R End Conditions

1984 ◽  
Vol 106 (4) ◽  
pp. 489-493
Author(s):  
J. K. Davidson ◽  
R. S. Ferrel
Keyword(s):  
Optimal Design ◽  
Design Method ◽  
Arbitrary Length ◽  
Optimal Value ◽  
End Conditions ◽  
Maximum Stability ◽  
Cylindrical Parts ◽  
Minimum Number ◽  
Optimal Design Method ◽  
Part Dimension

Congruent conical pilots can be used to configure the contacting surfaces of coaxially assembled rigid cylindrical parts where assembly integrity is obtained by an axial clamping load and where externally applied constraints occur only at the ends of the assembly. The relative motion for mating parts is developed for parts of arbitrary length. A method for optimal geometric design of the pilots is presented for the special conditions that all the parts be of the same length and that the assembly contain the minimum number of parts permissible for instability to occur. Application of the optimal design method achieves the maximum stability in the presence of a lateral destabilizing load. For each part dimension, the optimal value is at a domain limit.

Assembly Integrity of Coaxial Rigid Parts Positioned by Congruent Conical Pilots. Part 2: F-F End Conditions

1984 ◽  
Vol 106 (4) ◽  
pp. 494-497
Author(s):  
R. S. Ferrel ◽  
J. K. Davidson
Keyword(s):  
Optimal Design ◽  
Design Method ◽  
Arbitrary Length ◽  
Optimal Value ◽  
End Conditions ◽  
Maximum Stability ◽  
Cylindrical Parts ◽  
Minimum Number ◽  
Optimal Design Method ◽  
Part Dimension

Congruent conical pilots can be used to configure the contacting surfaces of coaxially assembled rigid cylindrical parts where assembly integrity is obtained by an axial clamping load and where externally applied constraints occur only at the ends of the assembly. The relative motion for mating parts is developed for parts of arbitrary length. A method for optimal geometric design of the pilots is presented for the special conditions that all the parts be of the same length and that the assembly contain the minimum number of parts permissible for instability to occur. Application of the optimal design method achieves the maximum stability in the presence of a lateral destabilizing load. For each part dimension, the optimal value is at a domain limit.

Shape Optimal Structural Design Using Boundary Elements and Minimum Compliance Techniques

1984 ◽  
Vol 106 (4) ◽  
pp. 518-523 ◽  
Author(s):  
C. A. Mota Soares ◽  
H. C. Rodrigues ◽  
K. K. Choi
Keyword(s):  
Optimal Design ◽  
Structural Design ◽  
Degrees Of Freedom ◽  
Boundary Elements ◽  
Linearization Method ◽  
Two Dimensional ◽  
Structural Components ◽  
Advantages And Disadvantages ◽  
Minimum Compliance ◽  
Element Technique

Shape optimal design of two-dimensional elastic components is formulated using boundary elements. The design objective is to minimize compliance of the structure, subject to an area constraint. All degrees of freedom of the model are at the boundary and there is no need for calculating displacements and stresses in the domain. Formulations based on linear and quadratic boundary elements are developed. The corresponding nonlinear programing problem is solved by Pshenichny’s linearization method. The model is applied to shape optimal design of several elastic structural components. The advantages and disadvantages of the boundary element method over the finite element technique for shape optimal design of structures are discussed, with reference to applications.

Sign in / Sign up

Export Citation Format

Share Document