How to calculate the parallel connection and series connection of springs

When two springs are connected in series, the force on each spring is F, so

F=k 1x 1

F=k2x2

F = K(x 1+x2)= K(F/K 1+F/k2)

Solution: K=k 1*k2/(k 1+k2)

When two springs are connected in parallel, each force is F/2, so there is

F/2=k 1x 1

F/2=k2x2

F=Kx=k 1x 1+k2x2

Because of the parallel connection, x=x 1=x2.

So K=k 1+k2.

Extended data:

The voltage law of series-parallel circuit is the theoretical knowledge of circuit connection, which is divided into series circuit and parallel circuit, in which the total voltage of series circuit is equal to the sum of the voltages at both ends of each part of the circuit, and the voltages at both ends of each branch appliance are equal to the total voltage of parallel circuit.

The most intuitive difference is the different characteristics of the batteries connected in these two ways. Four batteries are connected in series with 6V, but parallel connection is still only1.5V..

1. Series circuit: A circuit consisting of connected elements one after another. As shown in the figure, the characteristic is that the current flowing through one element will also flow through another element. For example: small colored lights in festivals. In the series circuit, when the switch is closed, two bulbs emit light at the same time, and when the switch is opened, both bulbs go out, indicating that the switch in the series circuit can control all electrical appliances.

2. Parallel circuit: a circuit composed of parallel elements, as shown in the figure, characterized in that the current of the main road is divided into two parts in the branch, and flows through each element in the two branches respectively.

For example: the connection of various electrical appliances in the home. In parallel circuit, the switch on the main line is closed, and the switches on each branch line are closed, and the light bulb will emit light. The switch on the trunk line is turned off, and the switches on each branch line are turned off, so the light bulb will not emit light, which means that the switch on the trunk line can control the whole circuit, and the switch on the branch line can only control this branch line.

3. Characteristics of series circuit and parallel circuit: In series circuit, because there is only one current, the current flowing from the positive pole of the power supply will flow through all the appliances one by one and finally return to the negative pole of the power supply.

Therefore, in a series circuit, if one electrical appliance is damaged or disconnected somewhere, the whole circuit will become an open circuit, the circuit will have no current, and all electrical appliances will stop working. Therefore, in the series circuit, several electrical appliances are involved in each other, either all work or all stop working. In the parallel circuit, the current flowing from the positive pole of the power supply is divided into two branches, and each branch has current flowing, so even if one branch is disconnected, the other branch will still form a path with the trunk. It can be seen that in parallel circuit, the branches are not related to each other.

Divide the voltage in series and shunt in parallel.

Principle: In a series circuit, the current on each resistor is equal, and the sum of the voltages at both ends of each resistor is equal to the total voltage of the circuit. As we all know, the voltage on each resistor is less than the total voltage of the circuit, so the series resistors should be divided.

In a parallel circuit, the voltage across each resistor is equal, and the sum of the currents across each resistor is equal to the total current (main current). As we all know, the current on each resistor is less than the total current (main current), so shunt occurs in parallel resistors. The series and parallel connection of resistors is like water flow. There is only one path for series connection. The greater the resistance, the slower the flow, the more parallel branches and the greater the current.

Judge whether the electrical appliances in the circuit are connected in series or in parallel.

Series connection and parallel connection are two basic forms of circuit connection, and there are some differences between them. To judge whether the components in the circuit are connected in series or in parallel, we must master their basic characteristics. The specific method is as follows:

(1) Connection mode of electrical appliances: analyze the connection mode of electrical appliances in the circuit and connect them in series one by one; Parallelism between two points in a circuit is parallel.

(2) current direction method: when the current flows out from the positive pole of the power supply, it flows through all components in series; When the two branches flow to somewhere separately and finally come together, it means that the circuits are connected in parallel.

(3) Disassembly method: Remove any electrical appliance to see if other electrical appliances are working normally. If all electrical appliances have been removed and other electrical appliances can continue to work, then the connection relationship of these electrical appliances is parallel; Otherwise, it is series connection.

The most intuitive difference is the different characteristics of the batteries connected in these two ways. Four batteries are connected in series with 6V, but parallel connection is still only1.5V..

1. Series circuit: A circuit consisting of connected elements one after another. As shown in the figure, the characteristic is that the current flowing through one element will also flow through another element. For example: small colored lights in festivals. In the series circuit, when the switch is closed, two bulbs emit light at the same time, and when the switch is opened, both bulbs go out, indicating that the switch in the series circuit can control all electrical appliances.

2. Parallel circuit: a circuit composed of parallel elements, as shown in the figure, characterized in that the current of the main road is divided into two parts in the branch, and flows through each element in the two branches respectively. For example: the connection of various electrical appliances in the home. In parallel circuit, the switch on the main line is closed, and the switches on each branch line are closed, and the light bulb will emit light. The switch on the trunk line is turned off, and the switches on each branch line are turned off, so the light bulb will not emit light, which means that the switch on the trunk line can control the whole circuit, and the switch on the branch line can only control this branch line.

3. Characteristics of series circuit and parallel circuit: In series circuit, because there is only one current, the current flowing from the positive pole of the power supply will flow through all the appliances one by one and finally return to the negative pole of the power supply. Therefore, in a series circuit, if one electrical appliance is damaged or disconnected somewhere, the whole circuit will become an open circuit, the circuit will have no current, and all electrical appliances will stop working.

Therefore, in the series circuit, several electrical appliances are involved in each other, either all work or all stop working. In the parallel circuit, the current flowing from the positive pole of the power supply is divided into two branches, and each branch has current flowing, so even if one branch is disconnected, the other branch will still form a path with the trunk. It can be seen that in parallel circuit, the branches are not related to each other.

Although the spring industry is a small industry in the whole manufacturing industry, its role cannot be underestimated. The country's industrial manufacturing industry and automobile industry should be accelerated, and the spring industry, as one of the basic components, needs an ultra-early development to adapt to the rapid development of the whole country's industry.

In addition, the expansion of the scale and variety of spring products and the improvement of the quality level are also the needs of upgrading mechanical equipment and improving the performance of supporting hosts. Therefore, spring products play an important role in the industrial development of the whole country. Daily necessities industry and hardware industry, including lighters, toys, locks, door hinges, fitness equipment, mattresses, sofas, etc. The demand for springs is the largest in quantity, tens of billions, with low technical requirements and very low price. Generally, they are produced by small spring factories scattered all over the country, which have unique advantages in cost and it is difficult for large spring factories to compete with them.

Therefore, new spring enterprises are born from time to time. In the future, the market demand will increase by 7%~ 10% every year. After China's entry into WTO, the export volume of daily-use hardware products increased significantly, which led to the demand for springs. However, due to the influence of international market demand and trade barriers, the international market has its uncertain side.

Springs can be divided into the following six categories:

1, torsion spring, is a kind of spring that bears torsional deformation, and its working part is tightly wound into a spiral shape. The end structure of the torsion spring is a torsion arm processed into various shapes, not a hook. Torsion spring uses the lever principle to make the elastic material with soft and high toughness twist or rotate, which makes it have great mechanical energy.

2. Tension spring is a spiral spring that bears axial tension. When there is no load, the coil of the tension spring is usually tight and there is no gap.

3. The compression spring is a spiral spring that bears axial pressure. The cross section of the materials used is mostly round, but also rectangular and multi-strand steel. Springs are usually equally spaced. The shapes of compression springs are: cylindrical, conical, convex-concave and a small number of non-circular. There will be a certain gap between the coils of the compression spring. When subjected to an external load, the spring contracts and deforms to store deformation energy.

4. Progressive spring, which adopts the design with inconsistent thickness and density, has the advantage that when the pressure is not great, it can absorb the ups and downs of the road surface through the part with lower elastic coefficient to ensure the ride comfort. When the pressure increases to a certain extent, the thicker part of the spring plays the role of supporting the car body, but this kind of spring has the disadvantages of indirect control and poor accuracy.

5. Linear spring, the thickness and density of linear spring from top to bottom are unchanged, and the elastic coefficient is fixed. This kind of spring can make the vehicle obtain more stable and linear dynamic response, which is beneficial to the driver to control the vehicle better. Mostly used in performance-oriented modified cars and competing cars, the disadvantage is of course that comfort is affected.

6. The short spring is shorter than the original spring.

References:

Baidu encyclopedia-parallel imports? Baidu Encyclopedia-Series