Name: resultant force and wrench motion
Uploaded: 2023-09-22T11:49:22.000Z
Duration: 1 min 23 s
Channel: JoVE

Üç boyutlu bir sistem, eşdeğer bir bileşke kuvvete ve karşılıklı olarak dik olmayan bir bileşke çift momente sahiptir.
Ortaya çıkan çift moment, bileşke kuvvetin hareket hattına paralel ve dik bileşenlere çözülebilir.
Ortaya çıkan kuvvet dik bir mesafe ile hareket ettirilirse, dikey bileşen değiştirilebilir.
Bileşke kuvvet ve doğrusal çift momentin bu kombinasyonu, gövdeyi anahtar veya vida olarak adlandırılan kendi ekseni etrafında çevirir ve döndürür.
Tuğlaya etki eden üç kuvveti düşünün. Bunları bir anahtarla değiştirin ve tuğlayla kesiştiği noktayı bulun.
İlk olarak, bileşke kuvveti ve büyüklüğünü bulun.
Ardından, kuvvetlerin uygulama noktasından kesişme noktasına kadar olan konum vektörlerini göz önünde bulundurun.
Karşılık gelen kuvvetlerle çapraz çarpımları, elde edilen çifte moment verir.
Şimdi, bileşke kuvvetin birim vektörünü belirleyin.
Ortaya çıkan moment, büyüklüğünün ve birim vektörün çarpımına eşittir.
Bileşenleri eşitlemek ve denklemleri çözmek, kesişme noktasının koordinatlarını verir.

<ol>
	<li>Hibbeler, R.C. (2016). Mühendislik Mekaniği \u2012 Statik ve Dinamik. Hoboken, New Jersey: Pearson Prentice Salonu. sayfa 179, 189.</li>
</ol>

kuvvet ve Çift sisteminin basitleştirilmesi ii

Bir üç boyutlu sistemde nesne üzerinde birden fazla kuvvet etki edebilir. Bu kuvvetler tek bir eşdeğer kuvvet haline getirilebilir, buna sonuçsal kuvvet denir. Benzer şekilde, bu kuvvetler tarafından oluşturulan momentler, sonuçsal bir çift momenti olan tek bir eşdeğer momente dönüştürülebilir. Belirli durumlarda, bu iki bileşen birbirine dik olmayabilir, yani aralarında 90 derecelik bir açıları olmaz. Bu özel durum, sonuçsal kuvvet ile çift moment arasındaki etkileşimin daha derin bir anlayışını gerektirir.

Bu durumu daha ayrıntılı olarak analiz etmek için, sonuçsal çift moment iki bileşene ayrılabilir: biri sonuçsal kuvvetin etki hattına paralel olan bir bileşen ve diğeri buna dik olan bir bileşen. Bu ayrıştırma, her bileşene ayrı ayrı odaklanmayı ve sistem üzerindeki bireysel etkilerini anlamayı sağlar. Çift momentin paralel bileşeni, sonuçsal kuvvetin dik olan ekseni etrafında herhangi bir dönme oluşturmaz. Bunun yerine, kuvvetin yönü boyunca bir 'twisting' etkisi olarak düşünülebilir.

Öte yandan, çift momentin dik bileşeni, hem kuvvetin hem de momentin dik olan ekseni etrafında dönme oluşturur. Bu dik bileşen, sonuçsal kuvvet bir dik mesafe boyunca hareket ettirilirse yerine konulabilir. Bu, orijinal kuvvetin ve çift momentin dik bileşeninin birleşiminin, farklı bir konumda etkileyen tek bir kuvvet tarafından taklit edilebileceği ve eşdeğer bir sistem oluşturduğu anlamına gelir.

Sonuçsal kuvvetin ve çizgisel çift momentin (paralel bileşen) birleşimi, bir anahtar veya vidayı anımsatan ve aynı zamanda cismin ekseni etrafında dönen bir harekete neden olan bir cihaz veya cıvata şeklinde görselleştirilebilir. Başka bir deyişle, rijit cisim, kuvvetin yönünde eşzamanlı bir doğrusal hareket ve kuvvete paralel bir eksende bir dönme hareketi deneyimler. Bu benzersiz hareket, bir anahtar veya vidaya anımsatılan ve mühendislik, robotik ve biyomekanik alanlarında birçok uygulamaya sahip olan bir hareket olarak adlandırılır.

Örneğin, robot teknolojisinde, bir anahtar kavramı, robot manipülatörlerin kinematik ve dinamiğini anlamak için önemlidir, burada son aşamada, hem çeviri hem de dönme içeren karmaşık görevleri gerçekleştirmesi gerekebilir. Benzer şekilde, biyomekanikte, bir anahtar kavramı, kemikler ve eklemlerdeki kuvvetlerin ve momentlerin çeşitli aktiviteler sırasındaki etkilerini incelemek için kullanılır ve araştırmacılara daha iyi protezler ve ortopedik cihazlar tasarlamalarına yardımcı olur.

Kuvvet ve Çift Sisteminin Basitleştirilmesi II

Üç boyutlu bir sistemde, bir cisme birden fazla kuvvet etki edebilir. Bu kuvvetler, bileşke olarak bilinen tek bir eşdeğer kuvvette birleştirilebilir...

simplification-of-a-force-and-couple-system-ii

Education

JoVE Core

Mechanical Engineering

Makine Mühendisliği

Unit 1

Ünite 1

Force System Resultants

Kuvvet Sistemleri Bileşkesi

KEY TERMS AND CONCEPTS

TEMEL TERİMLER VE KAVRAMLAR

Simplification of a Force and Couple System: II

resultant force and wrench motion

Resultant force and resultant couple moment describe how several forces and moments act together on a rigid body in three dimensions. When many forces act on an object, they can be replaced by one equivalent force. The moments from those forces can also be combined into one equivalent couple moment.

In some cases, the resultant force and the resultant couple moment are not mutually perpendicular. That means the angle between them is not 90 degrees. To study this situation, the couple moment is split into two parts. One part is parallel to the line of action of the resultant force, and the other part is perpendicular to it.

The parallel component acts like a twisting effect along the direction of the force. It does not create rotation about an axis perpendicular to the resultant force. The perpendicular component causes rotation about an axis that is perpendicular to both the force and the moment.

The perpendicular component can be replaced by moving the resultant force a certain perpendicular distance. This lets the original force and the perpendicular moment component be represented by a single force at a new location. The remaining force and parallel couple moment then form a wrench, also called a screw.

A wrench or screw motion combines translation and rotation at the same time. The body moves along the direction of the force and rotates about an axis parallel to that force. This idea is useful in engineering, robotics, and biomechanics. In robotics, it helps describe the motion of robotic manipulators and their end-effectors. In biomechanics, it helps researchers study forces and moments on bones and joints during movement and support better prosthetics and orthopedic devices.

Resultant Force and Wrench Motion

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Torque About an Axis in 3D Systems

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Bicycle Torque and Moment About an Axis

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Couple Moment in Force Systems

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Equivalent Couples in Mechanical Systems

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Torque from a Couple: Solving Forces

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Equivalent Force and Moment Systems

Structural systems often experience several forces and couple moments at the same time. Engineers simplify these loading cases by replacing them with an equivalent force and moment system at a chosen point O. This makes the analysis easier while keeping the same external effects on the member. A key idea in this process is the principle of transmissibility. A force is a sliding vector, which means it can be moved anywhere along its line of action without changing how the body behaves...

simplification of a force and couple system i

simplification-of-a-force-and-couple-system-i

Resultant Forces in Force and Couple Systems

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simplification of a force and couple system: ii

Resultant force and resultant couple moment describe how several forces and moments act together on a rigid body in three dimensions. When many forces act on an object, they can be replaced by one equivalent force. The moments from those forces can also be combined into one equivalent couple moment. In some cases, the resultant force and the resultant couple moment are not mutually perpendicular. That means the angle between them is not 90 degrees. To study this situation, the couple moment is...

distributed loads

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Finding Resultant Loads on a Beam

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Equivalent Resultant Loads on Beams

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key terms and concepts

Learn how a resultant force and couple moment can be split into parallel and perpendicular parts, then combined into wrench motion in 3D systems.

Resultant Force and Wrench Motion | JoVE K12

JoVE Core Makine Mühendisliği, denge, kuvvetler, kafes kiriş analizi ve yapısal mekanik gibi temel konuları kapsayan kısa, anlaşılması kolay animasyonlu videolar sunar. Gerçek dünyadaki uygulamalarını keşfedin ve bilim insanlarının önderlik ettiği deneylerle bu kavramların uygulanmasına tanık olun.

mechanical engineering

Resultant Force and Wrench Motion

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