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Combinatorial theory of mechanics and discrete geometry
In discrete geometry and mechanics, structural rigidity is a combinatorial theory for predicting the flexibility of ensembles formed by rigid bodies connected
Structural_rigidity
Topics referred to by the same term
Rigidity theory may refer to Study of the concept of rigidity (mathematics) Mathematical theory of structural rigidity Rigidity theory (physics), or topological
Rigidity_theory
Topics referred to by the same term
referred to as rigidity Structural rigidity, a mathematical theory of the stiffness of ensembles of rigid objects connected by hinges Rigidity (electromagnetism)
Rigidity
constraints of the GCS. Structural rigidity is another theory of rigidity that concerns generic frameworks, i.e., frameworks whose rigidity properties are representative
Geometric_rigidity
Branch of civil engineering dealing with man-made structures
shape of human-made structures. Structural engineers also must understand and calculate the stability, strength, rigidity and earthquake-susceptibility
Structural_engineering
State of matter
one of a few ubiquitous structures. Solids are characterized by structural rigidity and resistance to applied external forces and pressure. Unlike liquids
Solid
Seat and structural member of a boat
a part of an undecked boat that provides seats for the crew and structural rigidity for the hull. A thwart goes from one side of the hull to the other
Thwart
Branch of geometry that studies combinatorial properties and constructive methods
Quasicrystals Aperiodic tilings Periodic graph Finite subdivision rules Structural rigidity is a combinatorial theory for predicting the flexibility of ensembles
Discrete_geometry
Vehicle with a folding or removable roof
required. A potential drawback of convertibles is their reduced structural rigidity (requiring significant engineering and modification to counteract
Convertible
Abstraction of bar-and-joint frameworks
In the mathematics of structural rigidity, a rigidity matroid is a matroid that describes the number of degrees of freedom of an undirected graph with
Rigidity_matroid
Right-angled non-convex polyhedron
Research Center. Izmestiev, Ivan; Schlenker, Jean-Marc (2010). "Infinitesimal rigidity of polyhedra with vertices in convex position". Pacific Journal of Mathematics
Jessen's_icosahedron
Phenomenon in convertible cars
experienced in convertible or open top automobiles where, due to lower structural rigidity caused by the lack of a roof, the middle section of the chassis flexes
Scuttle_shake
Scottish physicist and mathematician (1831–1879)
from the original on 12 May 2014. Crapo, Henry (1979). "Structural rigidity" (PDF). Structural Topology (1): 26–45. Archived (PDF) from the original on
James_Clerk_Maxwell
Upward extension of an existing structure or ship
performance of ships and boats, since these structures can alter their structural rigidity, their displacements, and/or stability. These can be detrimental
Superstructure
Philosophical school and tradition
structures they are describing so as to be able to wholly appreciate them. The rigidity and tendency to categorize intimations of universal truths found in structuralist
Post-structuralism
Austrian American mathematician
Servatius (born 1954) is a mathematician specializing in matroids and structural rigidity. She is a professor of mathematics at Worcester Polytechnic Institute
Brigitte_Servatius
Vertical partition inside a ship
steamships. Bulkheads in a ship serve several purposes: increase the structural rigidity of the vessel, divide functional areas into rooms and create watertight
Bulkhead_(partition)
Structure made of three layers
in applications where a combination of high structural rigidity and low weight is required. The structural functionality of a sandwich panel is similar
Sandwich_panel
Type of rigid construction
to the structural rigidity. In a stressed-skin design, the skin or outer covering is bonded or pinned to the frame, adding structural rigidity by serving
Stressed_skin
Sociological theory of society
Structural functionalism, or simply functionalism, is "a framework for building theory that sees society as a complex system whose parts work together
Structural_functionalism
and mathematics education, and is known for his expertise in structural rigidity and rigidity matroids. Whiteley graduated from Queen's University in 1966
Walter_Whiteley
Ability of a structure to support a designed structural load without breaking
Structural integrity and failure is an aspect of engineering that deals with the ability of a structure to support a designed structural load (weight,
Structural integrity and failure
Structural_integrity_and_failure
Romanian-American computer scientist and mathematician
computational geometry, and in particular for her work on kinematics and structural rigidity. Streinu did her undergraduate studies at the University of Bucharest
Ileana_Streinu
Property of mathematical objects
f(i)=j\iff i\in B_{j}} is a rigid surjection. Uniqueness theorem Structural rigidity, a mathematical theory describing the degrees of freedom of ensembles
Rigidity_(mathematics)
2001 mathematics book by Jack E. Graver
Structures is an undergraduate-level book on the mathematics of structural rigidity. It was written by Jack E. Graver and published in 2001 by the Mathematical
Counting_on_Frameworks
Major stage of a crystallization process
The crystalline state of matter is characterized by a distinct structural rigidity and very high resistance to deformation (i.e. changes of shape and/or
Crystal_growth
Textile product
inflated pockets created by the drop yarns provide the fabric with structural rigidity, enabling the creation of flat-sided, pressure-resistant structures
Dropstitch_inflatable_fabric
Motor vehicle
crossmembers, and other enhancements resulting in a 12% increase in structural rigidity compared to 2010 Mustang GT convertibles. All 2011 Mustang GT's with
Ford Mustang (fifth generation)
Ford_Mustang_(fifth_generation)
Polyhedron with 8 triangles and 6 squares
flexible joints at its vertices but omitting its faces, does not have structural rigidity. Consequently, its vertices can be repositioned by folding (changing
Cuboctahedron
{\displaystyle d} -dimensional framework. Flattenability has connections to structural rigidity, tensegrities, Cayley configuration spaces, and a variant of the
Graph_flattenability
Japanese origamist (born 1982)
perspective, combining approaches from the mathematics of paper folding, structural rigidity, computational geometry, architecture, and materials science. His
Tomohiro_Tachi
Biomolecule consisting of chains of amino acid residues
one of the two ions. Structural proteins confer stiffness and rigidity to otherwise-fluid biological components. Most structural proteins are fibrous
Protein
Motor vehicle
in the redesign was a support beam behind the dashboard for extra structural rigidity. The second generation Focus debuted at the 2007 North American International
Ford Focus (second generation, North America)
Ford_Focus_(second_generation,_North_America)
Mid-engine hybrid sports car
car's all-new chassis combines aluminium and carbon fibre to improve structural rigidity and provide a suitable platform for the car's hybrid system. The
Ferrari_SF90_Stradale
Motor vehicle
panelled with 5251 aluminum alloy, and has a built-in roll cage for structural rigidity and safety. The car's body is made out of glass-reinforced plastic
Ultima_Evolution
Grand Tourer produced by Ferrari as the successor to the 599 GTB
chassis is made up of 12 different aluminium alloys and improves structural rigidity by 20% over the 599, whilst reducing weight by 70 kg (154 lb). The
Ferrari_F12
Motor vehicle
involving ballerinas, but it proved impossible to confer sufficient structural rigidity on this car without unacceptable cost and weight penalties, and Figoni's
Simca_Aronde
Series of four-wheel drive vehicles produced by Toyota
than the standard model, and uses more body adhesive to enhance structural rigidity. The GR Sport model also offers front and rear differential locking
Toyota_Land_Cruiser
Type of crystal structure
cubic geometry has also been considered for the purpose of providing structural rigidity though structures composed of skeletal triangles, such as the octet
Diamond_cubic
design of HOF monomers should focus on their H-bonds orientations and structural rigidity, and consequent framework stability and porosity. In principle, HOFs
Hydrogen-bonded organic framework
Hydrogen-bonded_organic_framework
Motor vehicle
claims that the use of graphene in the bodywork increases the car's structural rigidity and decreases weight. The second generation car also features more
Spania_GTA_Spano
Motor vehicle
Portofino. Hollow castings[clarification needed] allow for increased structural rigidity, increasing it by 35% over its predecessor, the Ferrari California
Ferrari_Portofino
Wood panel product made from solid-sawn lumber
layers of wood at right angles, the panel is able to achieve better structural rigidity in both directions. CLT is distinct from glued laminated timber (known
Cross-laminated_timber
Japanese mid-size car
body in white (BIW) is 42 pounds (19 kg) lighter, with improved structural rigidity. At Virginia International Raceway, Car and Driver tested the 2.0-litre
Honda_Accord
Bioterrorist attacks in the United States
Setlow, "Since silicate accumulation in other organisms can impart structural rigidity, perhaps silicate plays such a role for spores as well". The FBI
2001_anthrax_attacks
Sports car powered by a rotary engine
leading edge of the rear door acts as a "virtual pillar" to maintain structural rigidity. Because of the overlapping design, the rear doors can be opened
Mazda_RX-8
Mid-size luxury SUV
2004. This allegedly gives the Range Rover Sport the refinement and structural rigidity advantages of a monocoque chassis with the robustness of a separate
Range_Rover_Sport
Buddhist temple complex in Cambodia
construction, they would focus on bedding plane orientation due to its high structural rigidity characteristics. The monument was made of five to ten million sandstone
Angkor_Wat
Sports car by Toyota, 1970 to 2006
The design intent was to retain 95 percent of the notchback body's structural rigidity. The convertible was originally released in a run of 200 in 1983
Toyota_Celica
Rigid three-dimensional load-bearing truss structure
and structural engineering to span large areas with few interior supports. Like the truss, a space frame is strong because of the inherent rigidity of
Space_frame
Branched nucleic acid structure
designed geometries that provide molecules with a high degree of structural rigidity. Holliday junctions may exist in a variety of conformational isomers
Holliday_junction
Car model
pop-up headlights were dropped in favour of fixed units, purely for structural rigidity reasons. The front air vent was the other design alteration made
Autozam_AZ-1
BMW luxury grand tourer
temperature, and water temperature. The M8 was given a B-pillar to retain structural rigidity as well as having its pop up headlights deleted from the car. Other
BMW_8_Series_(E31)
Motor vehicle
features a wider and heavier body, with improvements to aerodynamics, structural rigidity, and tread width. The sedan variant achieves a drag coefficient of
Honda Accord (Japan and Europe seventh generation)
Honda_Accord_(Japan_and_Europe_seventh_generation)
Ukrainian high-speed interceptor drone
dimensions of 370 × 370 × 550 mm. The carbon construction provides structural rigidity and control precision during active pursuit maneuvers. The total
OSIRIS_UEB-1
NATO modular weapon system
the hollow buttstock with a lightweight urethane foam, imparting structural rigidity and high impact strength. This solved the problem without going over
Stoner_63
Cartilage found within the sclera of some vertebrate eyes
snakes. The primary function of scleral cartilage is to provide structural rigidity to the eyeball. This helps maintain the eye's shape, supports the
Scleral_cartilage
Mid-engine sports car manufactured by Jaguar
cage formed part of the chassis and monocoque, providing additional structural rigidity for the car and allowing the XJ220 to easily pass stringent crash
Jaguar_XJ220
Set of electromechanical parameters
fabrication, absorbs moisture easily and unless treated may lose some structural rigidity over time. This may be reduced by coating with water-impregnable
Thiele/Small_parameters
Compact/small family car manufactured by the Ford Motor Company 1998–2025
in the redesign was a support beam behind the dashboard for extra structural rigidity. Though informally considered as the second generation, it was never
Ford_Focus
Small particles in the air and settling onto surfaces
container or enclosure with seams may feature types of strengthened structural rigidity or sealant to vulnerable edges and joins. Cosmic dust is widely present
Dust
Mid-size luxury crossover SUV
pistons to replace the previous 2007–2009 3.7L's 11.0:1 pistons. Structural rigidity was improved for the 2010 model year. An Advance Package became available
Acura_MDX
Architectural style
space on the second floor and simplifying joinery, at a cost of structural rigidity. The knee wall was often fenestrated with small, low windows. Modern
Cape_Cod_(house)
Vertical or near vertical support of a car's window area or greenhouse
visibility, while in turn requiring underbody strengthening to maintain structural rigidity. The need for stronger roof structures meant replacing the pillar-less
Pillar_(car)
Hybrid compact car produced by Toyota
platform, which provides a lower center of gravity and increased structural rigidity. Ogiso also explained that the next-generation Prius plug-in hybrid
Toyota_Prius
Mid-size luxury performance car
regulations and now matched the Crown. To reduce weight and improve structural rigidity, High-tensile steel was used in key areas and the suspension. Five
Toyota_Chaser
Resistance to deformation in response to force
Stiffness or rigidity is the extent to which an object resists deformation in response to an applied force. The inverse of stiffness is flexibility or
Stiffness
5-door liftback car manufactured by Toyota
platform, which provides a lower center of gravity and increased structural rigidity. These features, along with other improvements allow for gains in
Toyota_Prius_(XW50)
Compact executive car
Further developments include a heavily revised chassis with increased structural rigidity, updated suspension tuning, and improved adaptive damping. Enhancements
Audi_A5
Type of DNA damage
between predefined thymidine sites in DNA nanostructures increases structural rigidity and stability, facilitating handling and transfer in aqueous environments
Pyrimidine_dimer
Type of secondary structure of proteins
proline is often the first residue of a helix, presumably due to its structural rigidity. At the other extreme, glycine also tends to disrupt helices because
Alpha_helix
Twisting of an object due to an applied torque
moments of inertia Saint-Venant's theorem Second moment of area Structural rigidity Torque tester Torsion siege engine Torsion spring or torsion bar
Torsion_(mechanics)
Compact car
in line with the new Leaf and Ariya. Reportedly, it has 6% more structural rigidity than the previous model. Rear view Interior In the United States
Nissan_Sentra
Motor vehicle
the high-strength steel body shell, which helps improve overall structural rigidity, particularly in the "passenger cell", over traditional spot welding
Audi_RS_4
Korean luxury coach
proprietary technology and was fitted with a monocoque body to enhance structural rigidity and provides lightweight body construction. This contributes to a
Hyundai_Universe
Plucked string instrument
angular harps"); while they became more elegant, they lost their structural rigidity. At the height of the Persian tradition of illustrated book production
Harp
Motor vehicle
principally upon its skin for rigidity, the size of door was severely limited and to overcome the resulting decrease in structural rigidity, vertical steel strengthening
Bond_Minicar
Mathematical puzzle of avoiding crossings
19th-century and early 20th-century publications both in early studies of structural rigidity and in chemical graph theory, where Julius Thomsen proposed it in
Three_utilities_problem
which feature irreversible acetylene linkages that provide enhanced structural rigidity. The strong covalent bonds in these structures result in high thermal
Organic_molecular_cages
Vehicle with a retracting solid roof
weatherly when the roof is raised More secure than fabric tops Increased structural rigidity May enable consolidation/simplification of a manufacturer's car lineup;
Retractable_hardtop
Class of Japanese battleships
peculiar sideways curving effectively maximizing armor protection and structural rigidity while optimizing weight. The armor on the main turrets surpassed
Yamato-class_battleship
Reciprocating internal combustion engine
included the head being redesigned to improve the waterways and structural rigidity and the block was also strengthened.[citation needed] All new tooling
Rover_K-series_engine
Car model
previous generation. The chassis was upgraded for a 25% increase of structural rigidity and the suspension was retuned to substantially reduce levels of
Ford_Escort_(North_America)
Subcompact car produced by Suzuki
high tensile steel in its construction, so as to not comprise on structural rigidity. Despite being lighter, Suzuki claims that the vehicle is compliant
Suzuki_Dzire
Structural phenolic polymer in plant cell walls
formation of cell walls, especially in wood and bark, because they lend rigidity and do not rot easily. Chemically, lignins are polymers made by the cross-linking
Lignin
Proposed suspension bridge linking Sicily to mainland Italy
vitesse à établir sur le détroit de Messine. The project emphasized structural rigidity and reduced oscillation, proposing a bridge capable of supporting
Strait_of_Messina_Bridge
Nuclear power plant in Japan
the third floor of No. 2 reactor building lost about 70% of its structural rigidity and the first floors lost 25%, compared to when they were built,
Onagawa_Nuclear_Power_Plant
Mid-size car produced by Oldsmobile (1982–1996)
leather interior and chassis reinforcement to provide the needed structural rigidity that was lost by removing the roof. Throughout much of its history
Oldsmobile_Cutlass_Ciera
Potential energy of water per unit volume relative to water in known conditions
the structural rigidity of the cell wall. By creating this pressure, the plant can maintain turgor, which allows the plant to keep its rigidity. Without
Water_potential
pebble games. This theorem relies on the definitions of genericity in structural rigidity. Let V ( E ) {\displaystyle V(E)} denote the vertex set of a set
Geiringer–Laman_theorem
Suspension bridge in Washington State
and were enlarged where the towers would stand to provide more structural rigidity. The east and west piers were completed in mid-December 1948. The
Tacoma_Narrows_Bridge_(1950)
English physicist and biologist (1916–2004)
structure of DNA. For example, he learned the importance of the structural rigidity that double bonds confer on molecular structures which is relevant
Francis_Crick
Reciprocating internal combustion engine
design, with the crankshaft axis well above the oil pan rails for structural rigidity. Although only four main bearings are used, they are of the same
Chrysler_Slant-6_engine
Motor vehicle
necessitated considerable modification in order to achieve the necessary structural rigidity, and the resulting cost was reflected in a much higher selling price
Borgward_Isabella
Motor vehicle
wheel; similar to the CX and Visa's layouts. To retain the car's structural rigidity, the new rear hatch kept a tall lower lip, which did make it harder
Citroën_GS
Structural design that supports loads through an object's external skin
Monocoque (/ˈmɒnəkɒk, -koʊk/ MON-ə-ko(h)k), also called structural skin, is a structural system in which loads are supported by an object's external skin
Monocoque
Boat with rigid hull and inflatable tubes
fabric wear-through and poor sea keeping due to lack of immersed hull structural rigidity. A solution was sought starting at Atlantic College, the first of
Rigid_inflatable_boat
Motor vehicle platform
longitudinal beam, the platform achieves significantly enhanced structural rigidity. In 2025, Volvo announced the XC70 plug-in hybrid SUV developed based
Compact_Modular_Architecture
American linguist; father of sociolinguistics (1927–2024)
and critically examined by a number of scholars, mainly for its structural rigidity. Kristin Langellier explains that "the purpose of Labovian analysis
William_Labov
Type of plastic
spring back to straight). The aluminum layer also provides additional structural rigidity such that the tube will be suitable for higher safe operating temperatures
Cross-linked_polyethylene
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