Axisymmetric Elasticity Solutions of Spherical Shell Segments

1971 ◽  
Vol 38 (1) ◽  
pp. 197-208 ◽  
Author(s):  
H. S. Levine ◽  
J. M. Klosner
Keyword(s):  
Free Edge ◽  
External Pressure ◽  
Spherical Segment ◽  
Least Square ◽  
Shear Stresses ◽  
Spherical Surfaces ◽  
Edge Conditions ◽  
Layer Effect ◽  
Elasticity Solutions ◽  
Axisymmetric Elasticity

A series solution for the stresses and displacements of a spherical segment subjected to arbitrary axisymmetric surface tractions and edge boundary conditions is presented. A least-square point-matching technique is used to satisfy the specified edge conditions. The general solution for the axisymmetric case has been obtained by utilizing two sets of functions, namely, the Lure´ homogeneous functions and the full sphere functions used by Sternberg, Eubanks, and Sadowsky. In particular, solutions to the following problems have been obtained: (a) the spherical segment with a stress free edge subjected to a centrifugal force field; (b) the spherical segment subjected to an external pressure varying as cos2N θ supported on a rigid surface with no shear resistance; and (c) the hemisphere having zero traction on its spherical surfaces subjected to edge shear stresses. The results are presented in graphic form, which demonstrate the boundary-layer effect. Heretofore solutions to these types of problems have been obtained by using shell theory approximations.

Thermal Stresses in Elastic Plates With Elliptic Holes

1974 ◽  
Vol 96 (3) ◽  
pp. 827-832 ◽  
Author(s):  
K. S. Rao ◽  
M. N. Bapu Rao ◽  
T. Ariman
Keyword(s):  
Temperature Distribution ◽  
Thermal Stresses ◽  
Elliptic Hole ◽  
Major Axis ◽  
Free Edge ◽  
Least Square ◽  
Elastic Plates ◽  
Edge Conditions ◽  
Method Of Least Square ◽  
Steady State Heat

The temperature and membrane stress distributions in an elastic square plate with an insulated central elliptic hole are investigated. The temperature varies along coordinates within the plane. The temperature distribution is determined as the solution of the steady state heat conduction equation, then the membrane stresses due to the temperature are analyzed. For both steps, the free edge conditions around the insulated elliptic hole as well as the boundary conditions at the fully restrained outer edges of the plate are satisfied at selected points by the method of least square point matching. The formulation is valid for any arbitrary orientation of the major axis of the elliptic hole. The numerical results for temperature distribution and membrane stresses are presented for two orientations and compared with the corresponding results for a circular hole.

Reduction of Free-Edge Stress Concentration

1985 ◽  
Vol 52 (4) ◽  
pp. 801-805 ◽  
Author(s):  
P. R. Heyliger ◽  
J. N. Reddy
Keyword(s):  
Finite Element ◽  
Stress Concentration ◽  
Finite Element Model ◽  
Three Dimensional ◽  
Element Model ◽  
Free Edge ◽  
Shear Stresses ◽  
Normal Stresses ◽  
Interlaminar Shear ◽  
Three Dimensional Elasticity

A quasi-three dimensional elasticity formulation and associated finite element model for the stress analysis of symmetric laminates with free-edge cap reinforcement are described. Numerical results are presented to show the effect of the reinforcement on the reduction of free-edge stresses. It is observed that the interlaminar normal stresses are reduced considerably more than the interlaminar shear stresses due to the free-edge reinforcement.

scholarly journals Enhancing Marketing Performance Through Enterprise-Initiated Customer Engagement

2020 ◽  
Vol 12 (9) ◽  
pp. 3931
Author(s):  
Marjeta Marolt ◽  
Hans-Dieter Zimmermann ◽  
Andreja Pucihar
Keyword(s):  
Conceptual Model ◽  
External Pressure ◽  
Organizational Readiness ◽  
Partial Least Square ◽  
Least Square ◽  
Customer Engagement ◽  
Enterprise Performance ◽  
Quantitative Survey ◽  
Marketing Performance ◽  
Path Modelling

The exponential speed of technological advancements and the ever-changing needs of customers have changed the way enterprises engage with their customers. However, despite the increasing scholarly interest in the enterprise-initiated perspective of customer engagement (CE) in recent years, it remains unclear what drives enterprises to initiate customer engagement and how enterprise-initiated customer engagement enhances enterprise performance. Thus, the purpose of this study is to develop and evaluate a conceptual model that consists of drivers and outcomes of enterprise-initiated customer engagement. After developing a conceptual model based on previous conceptual approaches to customer engagement, a quantitative survey was undertaken to gather the data from business-to-customer micro, small, and medium-sized enterprises. The data were analyzed using the partial least square path modelling. The findings showed that external pressure and organizational readiness influence enterprise-initiated customer engagement. Enterprise-initiated customer engagement was also found to influence marketing performance. The empirical findings provide insights for managers that explain what drivers may influence enterprise-initiated customer engagement and what benefits they can expect. Overall, this research extends the understanding of the CE domain and provides additional insights for the drivers and outcomes of enterprise-initiated CE.

Exact buckling solutions for composite laminates: proper free edge conditions under in-plane loadings

1996 ◽  
Vol 117 (1-4) ◽  
pp. 115-128 ◽  
Author(s):  
Y. Xiang ◽  
K. M. Liew ◽  
S. Kitipornchai
Keyword(s):  
Composite Laminates ◽  
Free Edge ◽  
Edge Conditions

scholarly journals Well-posedness and regularity results for a dynamic Von Kármán plate

1995 ◽  
Vol 18 (2) ◽  
pp. 237-244
Author(s):  
M. E. Bradley
Keyword(s):  
Strong Solutions ◽  
Free Edge ◽  
Regularity Of Solutions ◽  
Well Posedness ◽  
Boundary Damping ◽  
Von Karman ◽  
Edge Conditions ◽  
Von Kármán Plate ◽  
Regularity Results ◽  
Von Kármán

We consider the problem of well-posedness and regularity of solutions for a dynamic von Kármán plate which is clamped along one portion of the boundary and which experiences boundary damping through “free edge” conditions on the remainder of the boundary. We prove the existence of unique strong solutions for this system

VIBRATION AND BUCKLING OF SS-F-SS-F RECTANGULAR PLATES LOADED BY IN-PLANE MOMENTS

2001 ◽  
Vol 01 (04) ◽  
pp. 527-543 ◽  
Author(s):  
JAE-HOON KANG ◽  
ARTHUR W. LEISSA
Keyword(s):  
Beam Theory ◽  
Free Edge ◽  
Free Vibrations ◽  
Variable Coefficients ◽  
Mode Shapes ◽  
Rectangular Plates ◽  
One Dimensional ◽  
Simply Supported ◽  
Free Vibration Frequency ◽  
Edge Conditions

This paper presents exact solutions for the free vibrations and buckling of rectangular plates having two opposite, simply supported edges subjected to linearly varying normal stresses causing pure in-plane moments, the other two edges being free. Assuming displacement functions which are sinusoidal in the direction of loading (x), the simply supported edge conditions are satisfied exactly. With this the differential equation of motion for the plate is reduced to an ordinary one having variable coefficients (in y). This equation is solved exactly by assuming power series in y and obtaining its proper coefficients (the method of Frobenius). Applying the free edge boundary conditions at y=0, b yields a fourth order characteristic determinant for the critical buckling moments and vibration frequencies. Convergence of the series is studied carefully. Numerical results are obtained for the critical buckling moments and some of their associated mode shapes. Comparisons are made with known results from less accurate one-dimensional beam theory. Free vibration frequency and mode shape results are also presented. Because the buckling and frequency parameters depend upon the Poisson's ratio (ν), results are shown for 0≤ν≤0.5, valid for isotropic materials.

Multiply Loaded Rigid Punch on a Stressed Orthotopic Half-Plane via a Thin Elastic Layer

1992 ◽  
Vol 59 (2S) ◽  
pp. S115-S122 ◽  
Author(s):  
Hans L. Bjarnehed
Keyword(s):  
Half Plane ◽  
Elastic Layer ◽  
Singular Integral Equations ◽  
Free Edge ◽  
Shear Stresses ◽  
Rigid Punch ◽  
Fem Model ◽  
Frictionless Contact ◽  
Thin Elastic Layer ◽  
Elastic Cushion

A uniaxially stressed orthotropic half-plane indented on the free edge by a multiply loaded rigid punch via a thin elastic layer is considered. The layer is formulated as a generalized Winkler cushion including also shear stresses and strains. Governing singular integral equations are stated for the unknown interface stresses between the cushion and the half-plane. Two kinds of friction conditions between the cushion and half-plane are treated, viz. completely adhesive and frictionless contact. An analytical solution for contact with a rigid cushion and a numerical solution with an elastic cushion are presented. Also, a comparison with a corresponding FEM model is performed. For frictionless contact, some analytical results concerning optimum design of the elastic cushion are given.

scholarly journals Pengaruh Tekanan Eksternal Terhadap Penggunaan Sistem Pengukuran Kinerja Untuk Tujuan Opersional Dan Dampaknya Terhadap Kinerja

2016 ◽  
Vol 4 (2) ◽  
Author(s):  
Anita Primastiwi
Keyword(s):  
Performance Measurement ◽  
Empirical Evidence ◽  
Measurement System ◽  
External Pressure ◽  
Partial Least Square ◽  
Least Square ◽  
Performance Measurement System ◽  
External Stakeholder ◽  
One Year ◽  
The Impact

The aim of this study is to give empirical evidence about the influence of external pressure on the using of performance measurement system for operational purposes and the impact on the performance of public sector organizations. The samples were the SKPD’s and BUMD’s chairmen or chairwomen who lead the governmental services in Klaten Regency, and they must be in their term of office for at least one year. This study analyzed their perceptions about the statements in the questionaire. The data was analized by partial least square (PLS) with Smart PLS Version 3.0. The findings showed an empirical evidence that accountability demands from supervisors and specific (external) stakeholder groups do have positive and significant effect on the using of performance measurement system for operational purposes, but that general public or political attention does not affect to the using of performance measurement system for operational purposes. The finding also showed that using the system for operational purposes has no impact on performance.

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