GENERAL THEORY OF ORTHOTROPIC SHELLS. PART I

Free Vibration Analysis of Microtubules as Orthotropic Elastic Shells Using Stress and Strain Gradient Elasticity Theory

In this paper, vibration of the protein microtubule, one of the most important intracellular elements serving as one of the common components among nanotechnology, biotechnology and mechanics, is investigated using stress and strain gradient elasticity theory and orthotropic elastic shells model. Microtubules in the cell are influenced by internal and external stimulation and play a part in con...

Total Decoupling of General Quadratic Pencils, Part I: Theory

The notion of quadratic pencils, λ2M + λC +K, where M , C, and K are n× n real matrices with or without some additional properties such as symmetry or positive definiteness, plays critical roles in many important applications. It has been long desirable, yet with very limited success, to reduce a complicated high-degree-of-freedom system to some simpler low-degree-of-freedom subsystems. Recentl...

ISLAMIC MEDICAL JURISPRUDENCE PART I: GENERAL ASPEC TS AND PRINCIPLES

Islamic medical jurisprudence, which is the subjectconcemed with the application of Islamic laws to the area of medicine, has never been discussed as an independent field of jurisprudence, although several selected topics, especially those concerning food and beverages, sexuality, death, wounds and injuries, and doctor-patient relations have been more discussed than others. The results of a...

Valuation Theory. Part I

In the article we introduce a valuation function over a field [1]. Ring of non negative elements and its ideal of positive elements have been also defined. The notation and terminology used here have been introduced in the following We use the following convention: x, y, z, s are extended real numbers, i is an integer, and n, m are natural numbers. The following propositions are true: (1) If x ...

Local Symmetry Group in the General Theory of Elastic Shells