FRICTION
... FRICTION - the force that present whenever two surfaces are in contact and always acts opposite to the direction of motion. Depends on: • Type of materials in contact • Surfaces of materials ...
... FRICTION - the force that present whenever two surfaces are in contact and always acts opposite to the direction of motion. Depends on: • Type of materials in contact • Surfaces of materials ...
Document
... bodies 1 and 2, let v be the contact point velocity of body 1 relative to the contact point velocity of body 2. Let vt be the tangential component of v and let v̂ t be a unit vector in the direction of vt. Let fz and ft be the normal and tangential (frictional) components of force exerted by body 2 ...
... bodies 1 and 2, let v be the contact point velocity of body 1 relative to the contact point velocity of body 2. Let vt be the tangential component of v and let v̂ t be a unit vector in the direction of vt. Let fz and ft be the normal and tangential (frictional) components of force exerted by body 2 ...
slides - School of Computer Science
... • Developing an exact description of the convex wrench hull in this case is difficult. • Instead, we take samples of w’(x) and show bounds on the error in the convex hull constructed from these samples. – Because w’(x) is linear in r we need only sample the minimal and maximal values of r for a give ...
... • Developing an exact description of the convex wrench hull in this case is difficult. • Instead, we take samples of w’(x) and show bounds on the error in the convex hull constructed from these samples. – Because w’(x) is linear in r we need only sample the minimal and maximal values of r for a give ...
Normal Force Example: Incline
... Problem: Pushing a crate at an angle A crate of mass 100 kg is being pushed across a horizontal surface. The coefficient of friction between the crate and the surface is μ = 0.2. The force is being applied downward on the crate at a 30º angle with respect to the vertical axis. What is the minimum f ...
... Problem: Pushing a crate at an angle A crate of mass 100 kg is being pushed across a horizontal surface. The coefficient of friction between the crate and the surface is μ = 0.2. The force is being applied downward on the crate at a 30º angle with respect to the vertical axis. What is the minimum f ...
Contact mechanics
Contact mechanics is the study of the deformation of solids that touch each other at one or more points. The physical and mathematical formulation of the subject is built upon the mechanics of materials and continuum mechanics and focuses on computations involving elastic, viscoelastic, and plastic bodies in static or dynamic contact. Central aspects in contact mechanics are the pressures and adhesion acting perpendicular to the contacting bodies' surfaces (known as the normal direction) and the frictional stresses acting tangentially between the surfaces. This page focuses mainly on the normal direction, i.e. on frictionless contact mechanics. Frictional contact mechanics is discussed separately.Contact mechanics is part of Mechanical engineering; it provides necessary information for the safe and energy efficient design of technical systems and for the study of tribology and indentation hardness. Principles of contacts mechanics can be applied in areas such as locomotive wheel-rail contact, coupling devices, braking systems, tires, bearings, combustion engines, mechanical linkages, gasket seals, metalworking, metal forming, ultrasonic welding, electrical contacts, and many others. Current challenges faced in the field may include stress analysis of contact and coupling members and the influence of lubrication and material design on friction and wear. Applications of contact mechanics further extend into the micro- and nanotechnological realm.The original work in contact mechanics dates back to 1882 with the publication of the paper ""On the contact of elastic solids"" (""Ueber die Berührung fester elastischer Körper"") by Heinrich Hertz. Hertz was attempting to understand how the optical properties of multiple, stacked lenses might change with the force holding them together. Hertzian contact stress refers to the localized stresses that develop as two curved surfaces come in contact and deform slightly under the imposed loads. This amount of deformation is dependent on the modulus of elasticity of the material in contact. It gives the contact stress as a function of the normal contact force, the radii of curvature of both bodies and the modulus of elasticity of both bodies. Hertzian contact stress forms the foundation for the equations for load bearing capabilities and fatigue life in bearings, gears, and any other bodies where two surfaces are in contact.