Suggestion of a new dimensionless number for dynamic plastic response of beams and plates

A dimensionless number, termed response number in the present paper, is suggested for the dynamic plastic response of beams and plates made of rigid-perfectly plastic materials subjected to dynamic loading. It is obtained at dimensional reduction of the basic governing equations of beams and plates. The number is defined as the product of the Johnson's damage number and the square of the half of the slenderness ratio for a beam; the product of the damage number and the square of the half of the aspect ratio for a plate or membrane loaded dynamically. Response number can also be considered as the ratio of the inertia force at the impulsive loading to the plastic limit load of the structure. Three aspects are reflected in this dimensionless number: the inertia of the applied dynamic loading, the resistance ability of the material to the deformation caused by the loading and the geometrical influence of the structure on the dynamic response. For an impulsively loaded beam or plate, the final dimensionless deflection is solely dependent upon the response number. When the secondary effects of finite deflections, strain-rate sensitivity or transverse shear are taken into account, the response number is as useful as in the case of simple bending theory. Finally, the number is not only suitable to idealized dynamic loads but also applicable to dynamic loads of general shape.

La erodabilidad de cuatro series de suelos determinada por el mini-simulador de lluvia y el nomograma de Wischmeier

Se realizó un estudio con el propósito de obtener información acerca de le Erodabilidad del suelo, así como distinguir un método confiable y sencillo pera la determinación de ésta. Se seleccionaron cuatro Series de suelos (San Ignacio, Nejapa, Esquipulas y Zambrano), ubicadas en le Cuenca Sur del Lago de Managua, en base a una recopilación de información existente (topografía, reconocimiento y caracterización del terreno), se procedió a obtener les pérdidas de suelo, escurrimiento superficial, concentración de sedimentos y el Índice de Erodabilidad de cada Serie de suelos, por medio de un Mini-simulador de lluvia de Erodabilidad por Kamphorst (1987). El factor de erodabilidad (K) se obtuvo a través de cuatro propiedades del suelo (textura, materia orgánica, estructura y permeabilidad), cuyos valores son introducidos en el Nomograma de Wischmeier (1971). Una vez obtenidos los Índices de erodabilidad (I.K.) y Factor de erodabilidad (K) se determinó que las cuatro Series muestran diferentes grados de susceptibilidad e le erosión. Además, las pérdidas de suelo, escurrimiento superficial, concentración de sedimentos, el índice de erodabilidad y el Factor de erodabilidad son influenciadas por la materia orgánica. Así también se comprobó que el comparar el Índice y el Factor de erodabilidad, tienen un alto valor de correlación. Se pudo observar que le textura no tiene una influencia directa sobre les pérdidas de suelo, escurrimiento superficial, Índice de erodabilidad y Factor de erodabilidad.

Squeeze-film Effects in MEMS Devices with Perforated Plates for Small Amplitude Vibration

Squeeze-film effects of perforated plates for small amplitude vibration are analyzed through modified Reynolds equation (MRE). The analytical analysis reckons in most important influential factors: compressibility of the air, border effects, and the resistance caused by vertical air flow passing through perforated holes. It is found that consideration of air compressibility is necessary for high operating frequency and small ratio of the plate width to the attenuation length. The analytical results presented in this paper agree with ANSYS simulation results better than that under the air incompressibility assumption. The analytical analysis can be used to estimate the squeeze-film effects causing damping and stiffness added to the system. Since the value of Reynolds number involved in this paper is low (< 1), inertial effects are neglected.

Saturated duration of rectangular pressure pulse applied to rectangular plates with finite-deflections

The inequities in health care and housing access experienced by low-income women in the United States are a continuing concern. This article addresses the interrelationships between housing and health as experienced by low-income clients so that health care practitioners can begin to build active and effective health-promoting partnerships with clients, their families, and their communities. A case study is presented that describes the actual experience of a woman living in a low-income housing development and its effect on her health and access to health care. The importance of the role of midwives in addressing the health care and advocacy needs of women in substandard housing is highlighted.

Evaluación de índices de erodabilidad a través de pérdidas de suelo, mediante un mini-simulador de lluvia

La erosión hídrica constituya una seria amenaza en muchas partes del mundo, y en Nicaragua constituye una de las causas principales de la desaparición de la capa más productiva de algunos suelos. Para la lucha contra la erosión hídrica, es preciso conocer los factores y las causas que provoquen. El presente estudio hace un enfoque en algunos factores que influyen sobre el escurrimiento superficial y las pérdidas de suelo. Para lo cual se utilizó una técnica relativamente nueva en Nicaragua, como es la simulación de lluvia, a través de un mini –simulador fabricado en Holanda por Kamphorrts (1987). La investigación fe desarrollada en dos etapas 1rº Etapa de laboratorio de Física de suelo, propiedad de ISCA. Se utilizaron como factores de variación a tres clases texturales de suelo, dos tipos de cobertura vegetal y dos grados de húmeda del suelo; para determinar por un lado ; índice de erodabilidad mediante la E:U:P:S: (Wischerier, 1987) y por otro lado evaluar la influencia de los factores mencionados anteriormente sobre el escurrimiento superficial, las pérdidas de suelo y la concentración de sedimentos. 2dº Etapa de campo: realizada en la finca “El plantel” propiedad del OISCA el factor de variación considerado fue la clase textural. Se determinaron índice de erodabilida de los suelos de estudio mediante la E: U:P:S: y se evaluó la influencia de la textura sobre el escurrimiento superficial, las pérdida de suelo y la concentración de sedimentos. El presente estudio revela que el mini –simulador de lluvia, puede ser utilizado para la determinación de índice de erodabilidad como un paramento indicador de cual suelo es más o manos susceptible a la erosión hídrica. Se recomienda dar seguimiento a esta investigación a con una serie de trabajos, que permitan llegar a otener, un gran número de suelos con sus índices de eroddabilidad respectivos, y que en un futuro, estos índices puedadn llegar a ser extrapolados para la determinación del factor erodabilidad del suelo (K).

Bending solution of high-order refined shear deformation-theory for rectangular composite plates

A new high-order refined shear deformation theory based on Reissner's mixed variational principle in conjunction with the state- space concept is used to determine the deflections and stresses for rectangular cross-ply composite plates. A zig-zag shaped function and Legendre polynomials are introduced to approximate the in-plane displacement distributions across the plate thickness. Numerical results are presented with different edge conditions, aspect ratios, lamination schemes and loadings. A comparison with the exact solutions obtained by Pagano and the results by Khdeir indicates that the present theory accurately estimates the in-plane responses.

Vibration analysis of laminated plates using a refined shear deformation-theory

A previously published discrete-layer shear deformation theory is used to analyze free vibration of laminated plates. The theory includes the assumption that the transverse shear strains across any two layers are linearly dependent on each other. The theory has the same dependent variables as first order shear deformation theory, but the set of governing differential equations is of twelfth order. No shear correction factors are required. Free vibration of simply supported symmetric and antisymmetric cross-ply plates is calculated. The numerical results are in good agreement with those from three-dimensional elasticity theory.

A finite-element analysis of viscoelastically damped sandwich plates

A finite element analysis associated with an asymptotic solution method for the harmonic flexural vibration of viscoelastically damped unsymmetrical sandwich plates is given. The element formulation is based on generalization of the discrete Kirchhoff theory (DKT) element formulation. The results obtained with the first order approximation of the asymptotic solution presented here are the same as those obtained by means of the modal strain energy (MSE) method. By taking more terms of the asymptotic solution, with successive calculations and use of the Padé approximants method, accuracy can be improved. The finite element computation has been verified by comparison with an analytical exact solution for rectangular plates with simply supported edges. Results for the same plates with clamped edges are also presented.