I. INTRODUCTION Differential equations (DEs) play a prominent role in today's industrial setting. Many physical laws describe the rate of change of a quantity with respect to other quantities. Since " rate of change " is simply another phrase for derivative, these physical laws may be written as DEs. For example, Newton's Second Law of Motion states that the rate of change of momentum of an obj...

Appropriate emergency care of horses with unstable fractures is a challenging and life-saving veterinary procedure. Effective treatment requires a thorough understanding of the biomechanical loads imposed on the fracture site and creation of an external support system that neutralizes these forces and protects both bone and soft tissues at the fracture site. Author’s address: New Jersey Equine ...

Understanding the wide variety of targeting functions imposed by the covalent attachment of ubiquitin requires molecular analyses of its interaction with binding proteins. Evidence is now available that demonstrates the importance of electrostatic and hydrophobic forces (mechanistically weak but functionally important) that provide the framework for covalent bond formation in these interactions...

Differential rotation occurs in conducting flows in accretion disks and planetary cores. In such systems, the magnetorotational instability can arise from coupling Lorentz and centrifugal forces to cause large radial angular momentum fluxes. We present the first experimental observation of the magnetorotational instability. Our system consists of liquid sodium between differentially rotating sp...

In the structural optimization problem, the aim is to decrease the amount of structural costs and weight, but the safety of platform should not violate the individual limits enforced by offshore codes. The outer diameter and thickness of members are two important variables in the optimization process and their final dimensions should be obtained according to the optimization algorithms such as ...

We present a recent existence result concerning the quasistatic evolution of cracks in hyperelastic brittle materials, in the framework of finite elasticity with non-interpenetration. In particular, here we consider the problem where no Dirichlet conditions are imposed, the boundary is traction-free, and the body is subject only to time-dependent volume forces. This allows us to present the mai...

In this paper, the active buckling control of smart functionally graded (FG) plates using piezoelectric sensor/actuator patches is studied. A simply supported FG rectangular plate which is bonded with piezoelectric rectangular patches on the top and/or the bottom surface(s) as actuators/sensors is considered. When a constant electric charge is imposed, the governing differential equations of mo...

Abstract The surprising result of a recent experiment in turbulent helium II is that micron–size tracer particles move with about half the speed of the imposed normal fluid. We develop a theory of the interaction of small spheres with quantized vortices and predict that the particles slip velocity (resulting from the balance of buoyancy and Stokes drag forces) must be corrected by an amount whi...

The appreciation that biomechanical forces induce signaling responses that regulate vascular tone and inflammatory responses has had a paradigm-shifting effect on our understanding of vascular biology. Endothelial cells are constantly exposed to rheologically imposed forces that vary due to vascular anatomic features and hemodynamic parameters, and of course shear fluctuates cyclically during t...

In this paper EXCEL Visual Basic application spreadsheet has used in analyzing and designing truss elements. was developed to draw analyzes different type of elements for tension compression forces. The members were tested under dead, imposed, wind load. Members capacity provided according BS 5950. Different joints connection designed recommended support internal joints.