{"id":4089,"date":"2026-05-26T05:12:50","date_gmt":"2026-05-26T05:12:50","guid":{"rendered":"https:\/\/cardancoupling.top\/?p=4089"},"modified":"2026-05-26T09:48:43","modified_gmt":"2026-05-26T09:48:43","slug":"double-cardan-joints-how-to-achieve-near-constant-velocity","status":"publish","type":"post","link":"https:\/\/cardancoupling.top\/tr\/application\/double-cardan-joints-how-to-achieve-near-constant-velocity\/","title":{"rendered":"\u00c7ift Kardan Ba\u011flant\u0131s\u0131: Neredeyse Sabit H\u0131za Nas\u0131l Ula\u015f\u0131l\u0131r?"},"content":{"rendered":"
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Mechanical Engineering \u2022 Power Transmission<\/p>\n

Double Cardan Joints:
\nHow to Achieve Near-Constant Velocity<\/h2>\n

From the rolling mills of Sheffield to the offshore wind turbines of the North Sea \u2014 understanding the mechanics of the double cardan coupling is essential knowledge for engineers and procurement specialists demanding smooth, reliable power transmission.<\/p>\n

Up to 2,500,000 Nm Torque<\/span>
\nOperating Angles to 45\u00b0<\/span>
\nISO 9001:2015 Certified<\/span><\/div>\n<\/div>\n

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\"DoublePower transmission engineering has long grappled with a fundamental challenge: how do you transfer rotational motion between two shafts that are not perfectly aligned, without sacrificing the smoothness of the output? The cardan coupling \u2014 also known as the universal joint or Hooke’s joint \u2014 has been the industry’s answer for well over a century. But a single cardan joint, for all its mechanical elegance, introduces an inherent velocity variation that limits its usefulness in precision-demanding applications. Enter the double cardan joint: a refined configuration that uses two universal joints in a symmetric arrangement to cancel velocity errors and deliver near-constant velocity output. This capability is not merely an academic distinction \u2014 it is a practical necessity for rolling mill drives, precision test rigs, paper machine dryer sections, and a host of other industrial applications across the United Kingdom and beyond. This article examines the engineering principles behind the double cardan coupling, the materials and manufacturing standards that determine its quality, and the real-world applications where it delivers decisive advantages over simpler coupling types.<\/p>\n

\u2709\u00a0 Get a Free Quote Now<\/a><\/div>\n<\/div>\n

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Why Single Cardan Joints Fall Short<\/h2>\n
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A single cardan coupling \u2014 at its most basic \u2014 is a Hooke’s joint: two yokes connected by a cross-shaped spider assembly with four needle-roller bearing caps. The geometry is robust and well-understood, and for decades it has served reliably in automotive driveshafts, agricultural power take-offs, and general industrial machinery across Britain. The problem, however, is embedded in the joint’s fundamental kinematics. When input and output shafts are misaligned by an angle \u03b8, the output shaft does not rotate at a constant angular velocity. Instead, it accelerates and decelerates twice per revolution of the input shaft. The mathematical relationship governing this behaviour is:<\/p>\n

\u03c9\u2082 = \u03c9\u2081 \u00d7 cos(\u03b8) \u00f7 (1 \u2212 sin\u00b2(\u03b8) \u00d7 cos\u00b2(\u03c6))<\/div>\n

Here, \u03c9\u2081 is input angular velocity, \u03c9\u2082 is output angular velocity, \u03b8 is the joint operating angle, and \u03c6 is the instantaneous rotation angle of the input shaft. At small angles below 3\u00b0, this variation is minimal \u2014 typically less than 0.1% \u2014 and is completely acceptable for most drive applications. The situation changes dramatically as the operating angle increases. At 10\u00b0, the peak-to-trough velocity variation reaches approximately 3%. At 20\u00b0, it approaches 12%. At 30\u00b0, the fluctuation exceeds 26%. These are not theoretical tolerances \u2014 they translate directly into cyclic torque loading, torsional vibration, and accelerated wear on every connected component downstream of the joint.<\/p>\n<\/div>\n

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\"Cardan<\/p>\n

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Velocity Error by Joint Angle<\/p>\n

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0.1%<\/div>\n
at 3\u00b0 angle<\/div>\n<\/div>\n
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3%<\/div>\n
at 10\u00b0 angle<\/div>\n<\/div>\n
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12%<\/div>\n
at 20\u00b0 angle<\/div>\n<\/div>\n
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26%+<\/div>\n
at 30\u00b0 angle<\/div>\n<\/div>\n<\/div>\n

Peak-to-trough velocity variation of a single Hooke’s joint<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n

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The Near-Constant Velocity Principle<\/h2>\n

How the double arrangement cancels velocity errors and delivers smooth output<\/p>\n

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The double cardan coupling uses a beautifully simple principle to eliminate the velocity problem: it uses one joint to cancel the error introduced by the other. If one universal joint introduces a sinusoidal velocity error, a second identical joint positioned at an equal but opposite angle introduces an equal and opposite error \u2014 and the two cancel algebraically. The result is an output angular velocity that closely approximates the input angular velocity, regardless of the operating angle, providing the near-constant velocity characteristic that distinguishes this configuration from all single-joint arrangements.<\/p>\n

Mechanically, this is achieved by connecting two single cardan joints in series through a centering socket assembly. This centering element \u2014 typically a precision-hardened ball located in a spherical socket positioned midway along the assembly \u2014 is the most critical component in the entire double cardan design. Its function is to maintain the geometric symmetry of the arrangement throughout the full rotation cycle: the angle between the input shaft and the intermediate shaft must always equal the angle between the intermediate shaft and the output shaft. When this equality is maintained, the velocity variation introduced by the first joint is cancelled exactly by the second. The centering socket must be manufactured to tight geometric tolerances and must maintain this precision under the combined stresses of load, thermal cycling, and dynamic vibration throughout the assembly’s service life.<\/p>\n

\"Double<\/p>\n

In practice, manufacturing tolerances mean that cancellation is not mathematically perfect \u2014 true constant velocity joints achieve theoretical perfection through a different mechanism (such as Rzeppa or tripod designs) \u2014 but the residual velocity variation in a well-manufactured double cardan joint is typically less than 0.3 to 0.5% across the full operating angle range. This level of performance is more than adequate for virtually all heavy industrial applications. Ever Power machines centering socket components to a concentricity tolerance of 0.01 mm, which is why the residual velocity error in Ever Power assemblies consistently falls at the lower end of this range.<\/p>\n<\/div>\n<\/div>\n

<\/p>\n

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\u2460<\/div>\n

Input Joint<\/p>\n

First cardan joint introduces sinusoidal velocity variation proportional to sin\u00b2(\u03b8).<\/p>\n<\/div>\n

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\u2461<\/div>\n

Centering Socket<\/p>\n

Hardened ball-and-socket enforces equal joint angles on both sides at all times.<\/p>\n<\/div>\n

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\u2462<\/div>\n

Output Joint<\/p>\n

Second cardan joint cancels the first joint’s velocity error through equal-and-opposite geometry.<\/p>\n<\/div>\n

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\u2463<\/div>\n

Result<\/p>\n

<0.5% residual velocity variation across operating angles up to 40\u00b0.<\/p>\n<\/div>\n<\/div>\n<\/div>\n

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Core Manufacturing Materials<\/h2>\n
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The materials used in a cardan coupling are not a secondary consideration \u2014 they define the assembly’s torque capacity, fatigue life, and environmental suitability. Ever Power applies rigorous material engineering to every component in its double cardan joint product range, matching alloy grades and heat treatment specifications precisely to the demands of each application. The foundation of any high-quality cardan shaft assembly is its alloy steel specification, and the choices made here cascade through every aspect of performance from rated torque to service life.<\/p>\n

42CrMo4 (equivalent to SAE 4140 and widely specified in UK engineering to BS EN 10250) is the industry standard for industrial cardan coupling yokes. After quenching and tempering, it achieves a typical tensile strength of 900\u20131,050 MPa with excellent fatigue resistance under fully reversed torsional loading. For applications involving higher peak shock loads \u2014 open-die forging press drives, large mining crusher drives, or heavy rolling mill roughing stands \u2014 Ever Power specifies 34CrNiMo6, which offers approximately 20\u201325% higher notched impact toughness at comparable hardness levels. This material choice proved decisive in the Sheffield forging press case documented later in this article.<\/p>\n

The cross-shaft spider and needle roller bearing assemblies are manufactured from through-hardened bearing steel (100Cr6 \/ SAE 52100). Needle rollers are case-hardened to 62\u201364 HRC and ground to tight cylindricity tolerances, ensuring even load distribution and minimum friction in service. For high-speed applications \u2014 such as the balanced cardan shafts used in automotive dynamometers at facilities like Gaydon or Millbrook \u2014 Ever Power uses precision-matched needle roller sets to achieve G2.5 dynamic balance grades.<\/p>\n

Surface treatments are selected to match the operating environment. Standard industrial cardan couplings receive zinc phosphate plus oil treatment, adequate for indoor controlled environments. For offshore North Sea platforms operating from Aberdeen, or wind turbines in Orkney and Humberside, zinc-nickel electroplating (8\u201312 \u00b5m, >1,000 hours salt spray resistance per ISO 9227) or HVOF (High Velocity Oxy-Fuel) thermal spray coatings are specified. Stainless steel yoke variants in AISI 316L are available for chemical processing environments such as those found on Teesside and in the wider North East England chemical manufacturing corridor.<\/p>\n<\/div>\n

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\"Cardan<\/p>\n

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Material Reference<\/p>\n

\n\n\n\n\n\n\n\n\n
Yoke (standard)<\/td>\n42CrMo4<\/td>\n<\/tr>\n
Yoke (heavy-duty)<\/td>\n34CrNiMo6<\/td>\n<\/tr>\n
Needle bearings<\/td>\n100Cr6 (52100)<\/td>\n<\/tr>\n
Centering ball<\/td>\nHardened alloy steel<\/td>\n<\/tr>\n
Offshore variant<\/td>\n316L + Zn-Ni coat<\/td>\n<\/tr>\n
Sliding spline<\/td>\nCase-hardened steel<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n

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Core Technical Advantages<\/h2>\n

Why engineers across British industry specify double cardan couplings for their most demanding drives<\/p>\n

\"Cardan<\/p>\n

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\u26a1<\/div>\n

Near-Constant Velocity Output<\/h3>\n

The double cardan configuration reduces residual velocity variation to below 0.5% across operating angles up to 35\u00b0. This eliminates the cyclic torque loading and torsional vibration that afflicts single cardan joint arrangements, dramatically reducing wear on connected components including gearboxes, rolling mill housings, and precision test rig instrumentation.<\/p>\n<\/div>\n

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\ud83d\udd29<\/div>\n

Exceptional Torque Capacity<\/h3>\n

Forged alloy steel yokes and hardened needle bearing assemblies allow double cardan couplings to transmit torques from a few hundred Newton-metres up to over 2,500,000 Nm in heavy rolling mill or marine applications. This range is unmatched by disc couplings or gear couplings at comparable angular misalignment angles.<\/p>\n<\/div>\n

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\ud83d\udcd0<\/div>\n

Wide Angular Operating Range<\/h3>\n

Standard double cardan shaft assemblies operate up to 35\u00b0 of angular misalignment; custom Ever Power designs extend this to 45\u00b0. This far exceeds gear couplings (typically 1.5\u20133\u00b0) or disc pack couplings (typically 0.5\u20131\u00b0), making the double cardan coupling the only viable solution where large misalignment is unavoidable.<\/p>\n<\/div>\n

\n
\u2194<\/div>\n

Axial Displacement Accommodation<\/h3>\n

Many double cardan coupling assemblies incorporate a sliding spline section, permitting controlled axial movement between machines. This accommodates thermal expansion in hot-rolling processes and installation adjustments without imposing axial thrust on connected bearings. The spline is case-hardened and ground for low friction.<\/p>\n<\/div>\n

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\ud83d\udd27<\/div>\n

Field Maintainability<\/h3>\n

Unlike sealed CV joints, industrial double cardan joints are designed for in-service maintenance. Needle bearing kits are available for field replacement, yokes are interchangeable across size families, and Ever Power provides complete spare parts kits with each assembly \u2014 a key advantage in UK continuous-process plants where planned maintenance windows are short.<\/p>\n<\/div>\n

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\ud83c\udf21<\/div>\n

Broad Environmental Tolerance<\/h3>\n

With appropriate sealing and material selection, Ever Power’s double cardan couplings operate reliably from \u221240\u00b0C to +200\u00b0C. This range covers Arctic offshore platform environments, North Sea wind turbines, high-temperature furnace drives, and demanding thermal cycling in automotive test cells \u2014 making one product family applicable across the full breadth of UK industrial requirements.<\/p>\n<\/div>\n<\/div>\n<\/div>\n

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Technical Performance Specification<\/h2>\n
\n\n\n\n\n\n\n\n\n\n\n\n\n
Parametre<\/th>\nStandard Series<\/th>\nHeavy-Duty Series<\/th>\nCustom (Ever Power)<\/th>\n<\/tr>\n<\/thead>\n
Rated Torque (Nm)<\/td>\n50 \u2013 5,000<\/td>\n5,000 \u2013 200,000<\/td>\nUp to 2,500,000<\/td>\n<\/tr>\n
Max Operating Angle<\/td>\nUp to 25\u00b0<\/td>\nUp to 35\u00b0<\/td>\nUp to 45\u00b0<\/td>\n<\/tr>\n
Max Speed (RPM)<\/td>\nUp to 3,000<\/td>\nUp to 1,500<\/td>\nUp to 6,000 (balanced)<\/td>\n<\/tr>\n
Shaft Bore Diameter (mm)<\/td>\n20 \u2013 150<\/td>\n100 \u2013 450<\/td>\nCustom to drawing<\/td>\n<\/tr>\n
Yoke Material<\/td>\n42CrMo4<\/td>\n42CrMo4 \/ 34CrNiMo6<\/td>\nPer specification<\/td>\n<\/tr>\n
Y\u00fczey \u0130\u015flemi<\/td>\nPhosphate + oil<\/td>\nZn-Ni \/ Hard chrome<\/td>\nPer environment<\/td>\n<\/tr>\n
Operating Temperature<\/td>\n\u221220\u00b0C to +120\u00b0C<\/td>\n\u221220\u00b0C to +150\u00b0C<\/td>\n\u221240\u00b0C to +200\u00b0C<\/td>\n<\/tr>\n
Dynamic Balancing Grade<\/td>\nG16 standard<\/td>\nG6.3<\/td>\nG2.5 (precision)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

All values are indicative. Contact Ever Power for confirmed specifications for your application. Custom sizes and materials available on request \u2014 sales@cardancoupling.top<\/p>\n<\/div>\n

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Industrial Application Scenarios<\/h2>\n

From the rolling mills of Sheffield to the wind turbines of Humberside \u2014 where double cardan couplings<\/a> deliver decisive performance advantages<\/p>\n

\"Double<\/div>\n
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\ud83c\udfed Steel & Metal Rolling Mills \u2014 Sheffield, Scunthorpe, Rotherham<\/h3>\n<\/div>\n
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The British steel industry remains one of the most demanding environments for cardan coupling technology. Rolling mill drives must transmit enormous torques \u2014 routinely exceeding 500,000 Nm per stand \u2014 at variable speeds, accommodating the angular misalignment between the main gearbox output and the roll chock during roll-change operations. Double cardan shaft assemblies are the only practical solution: they combine the required torque capacity with the angular flexibility needed for roll-changing and the near-constant velocity necessary to prevent thickness variation in high-quality steel products. Ever Power supplies custom rolling mill cardan couplings with bore diameters up to 350 mm and torque ratings exceeding 800,000 Nm, balanced to G6.3 for high-speed roughing mill applications at Sheffield, Scunthorpe, and Rotherham facilities.<\/p>\n<\/div>\n<\/div>\n

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\ud83c\udf0a Marine & Offshore \u2014 Portsmouth, Southampton, Aberdeen<\/h3>\n<\/div>\n
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Marine propulsion systems and offshore platform auxiliary drives combine high torque requirements with the need for angular flexibility to accommodate engine movement relative to the hull structure. Double cardan couplings connect diesel prime movers to shaft lines or hydraulic pump drive trains in these applications, operating at joint angles that would cause unacceptable vibration in any single-joint arrangement. For North Sea platforms operating from Aberdeen, Ever Power specifies zinc-nickel coated or stainless yoke variants with upgraded labyrinth sealing systems to extend service intervals in the demanding offshore environment without compromising the smooth velocity output that prevents propeller shaft vibration.<\/p>\n<\/div>\n<\/div>\n

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\ud83d\udcc4 Paper & Pulp Industry \u2014 Hull, Aberdeen, Merseyside<\/h3>\n<\/div>\n
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Paper machines run at precisely synchronised section speeds, and any velocity variation in the dryer or press section creates web tension fluctuations leading to paper breaks or visible surface defects. The double cardan joint is specified for paper machine dryer drive shafts precisely because its near-constant velocity characteristic prevents the sinusoidal geometry error from propagating into the web. Dryer section cardan couplings in UK paper mills typically operate at angles of 15\u201325\u00b0, running continuously at 300\u2013800 RPM for months between planned maintenance windows.<\/p>\n<\/div>\n<\/div>\n<\/div>\n

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\ud83d\udca8 Wind Energy \u2014 Humberside, Orkney, North Sea<\/h3>\n<\/div>\n
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Britain’s offshore wind sector \u2014 including the Hornsea and Dogger Bank farms in the Humber estuary, and substantial onshore capacity in Orkney and the Scottish mainland \u2014 uses precision cardan couplings in nacelle drivetrains. The main shaft of a multi-megawatt turbine experiences bending deflection under rotor aerodynamic loads, and a double cardan joint between the main bearing and gearbox input absorbs this deflection without imposing damaging bending moments on the gearbox planet carrier. This significantly extends gearbox life \u2014 a critical factor given the expense and difficulty of gearbox replacement in offshore installations at sea.<\/p>\n<\/div>\n<\/div>\n

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\ud83c\udfce Automotive Testing \u2014 Gaydon, Millbrook, MIRA<\/h3>\n<\/div>\n
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The UK’s world-class automotive testing infrastructure \u2014 including Jaguar Land Rover’s development centre at Gaydon, Millbrook Proving Ground in Bedfordshire, and the MIRA technology campus in Nuneaton \u2014 uses precision double cardan couplings extensively in drivetrain dynamometers, four-wheel-drive test rigs, and NVH measurement systems. The velocity precision requirement in test coupling applications is among the most stringent of any sector, because residual velocity variation contaminates NVH and efficiency measurements. Ever Power supplies dynamically balanced double cardan shaft assemblies to G2.5 for these applications, complete with calibration documentation traceable to national standards.<\/p>\n<\/div>\n<\/div>\n

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\"Industrial<\/p>\n

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Ever Power double cardan joint assemblies prepared for UK industrial deployment<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n

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Ever Power: Precision Manufacturing & Custom Cardan Solutions<\/h2>\n

Your specialist partner for custom cardan coupling engineering, supplied to UK industry<\/p>\n

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Ever Power has built its reputation on a straightforward premise: every industrial drive application is unique, and a cardan coupling that almost meets the requirement will eventually fail. With more than two decades of specialist experience in precision cardan shaft<\/p>\n<\/div>\n<\/div>\n<\/div>\n

edit by gzl<\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"

Mechanical Engineering \u2022 Power Transmission Double Cardan Joints: How to Achieve Near-Constant Velocity From the rolling mills of Sheffield to the offshore wind turbines of the North Sea \u2014 understanding the mechanics of the double cardan coupling is essential knowledge for engineers and procurement specialists demanding smooth, reliable power transmission. Up to 2,500,000 Nm Torque […]<\/p>","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[5636],"tags":[],"class_list":["post-4089","post","type-post","status-publish","format-standard","hentry","category-coupling"],"_links":{"self":[{"href":"https:\/\/cardancoupling.top\/tr\/wp-json\/wp\/v2\/posts\/4089","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/cardancoupling.top\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/cardancoupling.top\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/cardancoupling.top\/tr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/cardancoupling.top\/tr\/wp-json\/wp\/v2\/comments?post=4089"}],"version-history":[{"count":6,"href":"https:\/\/cardancoupling.top\/tr\/wp-json\/wp\/v2\/posts\/4089\/revisions"}],"predecessor-version":[{"id":4192,"href":"https:\/\/cardancoupling.top\/tr\/wp-json\/wp\/v2\/posts\/4089\/revisions\/4192"}],"wp:attachment":[{"href":"https:\/\/cardancoupling.top\/tr\/wp-json\/wp\/v2\/media?parent=4089"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cardancoupling.top\/tr\/wp-json\/wp\/v2\/categories?post=4089"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cardancoupling.top\/tr\/wp-json\/wp\/v2\/tags?post=4089"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}