Optimal Design for Maximum Fundamental Frequency and Minimum Intermediate Support Stiffness for Uniform and Stepped Beams Composed of Different Materials

2020 ◽  
Author(s):  
Elsawaf Ahmed ◽  
Elsayed Tamer ◽  
Farghaly Said
Keyword(s):  
Optimal Design ◽  
Fundamental Frequency ◽  
Intermediate Support

Vibration of a Standing Heavy Column With Intermediate Support

2010 ◽  
Vol 132 (4) ◽  
Author(s):  
C. Y. Wang
Keyword(s):  
Fundamental Frequency ◽  
Optimum Location ◽  
Initial Value ◽  
Free Standing ◽  
Intermediate Support ◽  
Exact Relations

The vibration of a free standing column under its own weight is studied. An intermediate support increases the fundamental frequency. The optimum location for the support is determined for clamped-free, pinned-free, and sliding-free columns. The problem is integrated by a simple accurate initial value method. Approximate and exact relations are also found.

Global Optimal Design of Nanomechanical Resonators

2013 ◽  
Author(s):  
Sung K. Koh ◽  
Yong Chul Kim
Keyword(s):  
Optimal Design ◽  
Fundamental Frequency ◽  
Design Problem ◽  
Optimal Solution ◽  
High Mass ◽  
Cross Sectional ◽  
Nanomechanical Resonator ◽  
Nanomechanical Resonators ◽  
Mass Sensitivity ◽  
Global Optimal

Novel nanomechanical resonators with high mass sensitivities are designed in an optimal manner. We are concerned with a nanomechanical resonator with step changes in cross section and determine its geometry so as to maximize its mass sensitivity. Since the mass sensitivity is proportional to the fundamental frequency, we decide the geometric shape so as to maximize the fundamental frequency. In particular, we design a cantilever resonator with a single discontinuity in its cross sectional area. As the design space of this design problem is decided by the volume of the resonator, we synthesize it for various prescribed volume constraints. The fundamental frequency is estimated based on the Euler-Bernoulli beam theory. We discovered that there is a unique global optimal solution of this design problem that does not depend on the given volume constraints. The mass sensitivity of optimally designed cantilever resonators is 1.9193 times greater than that of conventional uniform beam type resonators that are designed for the same volume. Consequently, the mass sensitivity of a nanomechanical uniform resonator of constant volume can always be enhanced without regard to its global size by modifying its geometry following the optimal design proposed in this paper.

Optimal Design of a Sandwich Beam with Point Load for Maximum Fundamental Frequency

1994 ◽  
Vol 169 (1) ◽  
pp. 129-137
Author(s):  
F.H. Nasr ◽  
J. Fernandez ◽  
J.M. Sloss ◽  
J.C. Bruch
Keyword(s):  
Optimal Design ◽  
Fundamental Frequency ◽  
Sandwich Beam ◽  
Point Load

scholarly journals Optimal Design by Genetic Algorithm for Maximum Fundamental Frequency of Laminated Shallow Shells

1996 ◽  
Vol 5 (1) ◽  
pp. 096369359600500 ◽  
Author(s):  
Y Narita ◽  
M Itoh ◽  
X Zhao
Keyword(s):  
Genetic Algorithm ◽  
Optimal Design ◽  
Fundamental Frequency ◽  
Shallow Shell ◽  
Optimization Problem ◽  
Optimization Process ◽  
Laminated Shell ◽  
Shallow Shells

A genetic algorithm (GA) is applied to the optimization problem for maximizing the fundamental frequency of laminated shallow shells. A frequency formula is derived for the shallow shell supported by shear diaphrams, and is used in the GA optimization process. The advantage of using GA approach in the laminated shell problem is demonstrated.

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