### Complex Eigenvalues

The complex eigenvalues are eigenvalues that are involved with complex numbers. To understand the complex eigenvalues, you need to have a clear understanding of eigenvalues and eigenvectors. Eigenvalue, Eigenvector and Eigenfuction The eigenvector of a square matrix is a vector that does not change its direction under associated linear transformation. If y V is a

### Harmonic Conjugate

If the real part of a complex function is harmonic, then there exists a harmonic imaginary part, so that the function is analytic. The imaginary part is known as the harmonic conjugate of the real part. In other words, the harmonic conjugate to a real valued function is an imaginary function, such that the whole

### Cauchy-Riemann Equations

The first thing we need to understand is why are Cauchy-Riemann (CR) Equations? What is the use of them? It’s an analysis to understand whether a complex function is complex differentiable or not in complex analysis. Cauchy-Riemann Equations states that a complex function is differentiable if it satisfies the equations on a domain in the

### Conveyor Systems: Types and Elements

Conveying means transporting something from one place to another. In mechanical engineering design, there are few types of systems that use transporting materials from one place to another.   Conveyor systems are the type of mechanical systems that allows materials to transport from one place to another. Chute conveyor, wheel conveyor, roller conveyor, and screw conveyor

### Heat vs Work: What is the Difference?

Heat vs Work: What is the Difference? If you’re working with physics and thermodynamics, it’s usual to get this confusion. And it’s also important to know the difference. Heat is the transfer of thermal energy between systems or objects, while work in physics it’s the transfer of mechanical energy. But the work in thermodynamics is

### Split Rings

There are two different definitions for split rings. The first one states that the split ring is a metal coil ring that is formed by pressing two complete turns of a helix together. The second one states that it’s a metal ring that has a gap in it. The two definitions bring us confusion. However,

### Bell Crank – Uses, Angles, And Suspension

Linkages are essential components of machines that have moving elements.

### Split Nut

Compared to the standard nut, the split nut is easier

### Jack Chain

A jack chain is a type of chain that is

### Best Machine Design Books

Machine design is an interesting subject. However, there is some

### Silicon vs. Silicone – What’s the difference?

Silicone is a chemical element created by humans. Silicon, on

### Kinematic Chain

Kinematic chain mechanism is used to transform motion. It consists assembly of links connected by movable joints, to form a closed kinematic chain by considering one link as the reference.

### Complex Eigenvalues

The complex eigenvalues are eigenvalues that are involved with complex numbers. To understand the complex eigenvalues, you need to have a clear understanding of eigenvalues and eigenvectors. Eigenvalue, Eigenvector and Eigenfuction The eigenvector of a square matrix is a vector that does not change its direction under associated linear transformation. If y V is a

### Harmonic Conjugate

If the real part of a complex function is harmonic, then there exists a harmonic imaginary part, so that the function is analytic. The imaginary part is known as the harmonic conjugate of the real part. In other words, the harmonic conjugate to a real valued function is an imaginary function, such that the whole

### Cauchy-Riemann Equations

The first thing we need to understand is why are Cauchy-Riemann (CR) Equations? What is the use of them? It’s an analysis to understand whether a complex function is complex differentiable or not in complex analysis. Cauchy-Riemann Equations states that a complex function is differentiable if it satisfies the equations on a domain in the

### Conveyor Systems: Types and Elements

Conveying means transporting something from one place to another. In mechanical engineering design, there are few types of systems that use transporting materials from one place to another.   Conveyor systems are the type of mechanical systems that allows materials to transport from one place to another. Chute conveyor, wheel conveyor, roller conveyor, and screw conveyor

### Heat vs Work: What is the Difference?

Heat vs Work: What is the Difference? If you’re working with physics and thermodynamics, it’s usual to get this confusion. And it’s also important to know the difference. Heat is the transfer of thermal energy between systems or objects, while work in physics it’s the transfer of mechanical energy. But the work in thermodynamics is

### Split Rings

There are two different definitions for split rings. The first one states that the split ring is a metal coil ring that is formed by pressing two complete turns of a helix together. The second one states that it’s a metal ring that has a gap in it. The two definitions bring us confusion. However,

### A Shaft Rotating at Constant Speed is Subjected to Variable Load

PROBLEM A shaft rotating at constant speed is subjected to

### Single Row Deep Groove Ball Bearing Problem

PROBLEM Select a single row deep groove ball bearing with

### Find Number of Teeth for Gear and Angular Velocity Ratio

PROBLEM For the gearbox shown, we know the number of

### Bell Crank – Uses, Angles, And Suspension

Linkages are essential components of machines that have moving elements.

### Split Nut

Compared to the standard nut, the split nut is easier

### Jack Chain

A jack chain is a type of chain that is