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Concept of active counterweight system for medium excavator

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<strong>Concept</strong> <strong>of</strong> <strong>active</strong> <strong>counterweight</strong> <strong>system</strong><br />

<strong>for</strong> <strong>medium</strong> <strong>excavator</strong><br />

ARTUR GAWLIK<br />

STANIS¸AW MICHA¸OWSKI<br />

Excavators and loaders present the biggest chance<br />

in the increase <strong>of</strong> efficiency through the recuperation<br />

<strong>of</strong> hydraulic energy. It is a result <strong>of</strong> repeatability <strong>of</strong><br />

work cycles and potential energy <strong>of</strong> lowering <strong>excavator</strong>’s<br />

linkage possibility to use. Counterweights are<br />

assembled quite <strong>of</strong>ten in the construction equipment<br />

structures but these elements are normally fixed. In<br />

the specialist machines like the pipe layer crane is<br />

used <strong>counterweight</strong> driven by the hydraulic cylinder.<br />

It is however, only a passive solution which works<br />

apart from the boom mechanism. This <strong>system</strong> can<br />

increase only the static stability <strong>of</strong> the machine.<br />

However, level luffing jib cranes have movable <strong>counterweight</strong>s<br />

which have a motion connection to the<br />

motion <strong>of</strong> the crane boom. The <strong>counterweight</strong> is<br />

connected with boom mechanism through a link<br />

mechanism. This solution unloads boom drive in<br />

approximate mode and increases the stability <strong>of</strong> the<br />

crane. The idea <strong>of</strong> an <strong>active</strong> <strong>counterweight</strong> is propagated<br />

by Volvo research team in his “SfinX Project” as<br />

well. This is a conception <strong>of</strong> how <strong>excavator</strong>s could<br />

evolve over the next two decades. The <strong>active</strong> <strong>counterweight</strong><br />

unloading boom mechanism is only one <strong>of</strong><br />

many conceptions.<br />

Idea <strong>of</strong> <strong>active</strong> <strong>counterweight</strong><br />

The suggested solution is that a movable <strong>counterweight</strong><br />

is connected with a hydraulic drive <strong>system</strong> <strong>of</strong><br />

Mgr in˝. Artur Gawlik, pr<strong>of</strong>. dr hab. in˝. Stanis∏aw<br />

Micha∏owski, Cracow University <strong>of</strong> Technology Institute<br />

<strong>of</strong> Machine Design.<br />

58<br />

a work linkage. To begin with, few assumptions were<br />

made: the mass <strong>of</strong> an <strong>active</strong> <strong>counterweight</strong> should<br />

not be bigger than the mass <strong>of</strong> the standard <strong>counterweight</strong><br />

by reason <strong>of</strong> additional resistance to the<br />

motion <strong>of</strong> a machine and necessary modification <strong>of</strong><br />

kinematics pairs. Moreover, the movable link <strong>of</strong> the<br />

<strong>counterweight</strong> should not exceed the superstructure<br />

contour. After an initial analysis, <strong>of</strong> the co-operation<br />

among the connected hydraulic cylinders <strong>of</strong> <strong>excavator</strong><br />

and an <strong>active</strong> <strong>counterweight</strong>, it was shown that<br />

their connection should not be direct. Some additional<br />

valves are a necessary in this <strong>system</strong>.<br />

The center <strong>of</strong> mass vector <strong>for</strong> <strong>excavator</strong> linkage and<br />

<strong>counterweight</strong> shows <strong>for</strong>mula:<br />

The first part <strong>of</strong> the numerator <strong>of</strong> a <strong>for</strong>mula (1)<br />

presents sum <strong>of</strong> gravitation <strong>for</strong>ce moments, which<br />

act on linkages and <strong>counterweight</strong>. The second part<br />

<strong>of</strong> the numerator shows the sum <strong>of</strong> a potential<br />

energy <strong>for</strong> <strong>excavator</strong> and <strong>active</strong> <strong>counterweight</strong> links.<br />

The correlation between the <strong>counterweight</strong> center<br />

<strong>of</strong> a mass and the machine linkage center <strong>of</strong> mass<br />

could be calculated by a manner where components<br />

<strong>of</strong> the center <strong>of</strong> the total mass vector are constants<br />

( = const.). This situation gives two crucial effects:<br />

– a static overturning moment will be constants<br />

<strong>for</strong> different linkage set up,<br />

– a connection <strong>of</strong> <strong>excavator</strong> hydraulic circuit and<br />

hydraulic driven <strong>counterweight</strong> mechanism allows <strong>for</strong><br />

ROK WYD. LXVIII ZESZYT 7-8/2009<br />

(1)


Fig. 1. Homothetic trans<strong>for</strong>mation <strong>of</strong><br />

<strong>excavator</strong> and <strong>active</strong> <strong>counterweight</strong><br />

<strong>system</strong> <strong>for</strong> scale factor k = 0,5<br />

energy flow between described<br />

<strong>system</strong>s and produces mutual<br />

static unloading from links load.<br />

Vector <strong>of</strong> center <strong>of</strong> mass position<br />

in point P <strong>for</strong> movable <strong>counterweight</strong><br />

describes equation (2):<br />

Taking into consideration that<br />

= const., result from equation<br />

(1) that point P <strong>of</strong> center <strong>of</strong> mass<br />

<strong>for</strong> <strong>active</strong> <strong>counterweight</strong> trajectory should be<br />

homothetic to point O <strong>of</strong> center <strong>of</strong> mass <strong>for</strong> <strong>excavator</strong><br />

–k<br />

linkage trajectory. Homothetic trans<strong>for</strong>mation J has s<br />

center in point S and scale factor –k (Fig. 1). It is<br />

possible to achieve it only if the <strong>counterweight</strong><br />

mechanism is homothetic to the linkage mechanism.<br />

Simplified <strong>active</strong> <strong>counterweight</strong> mechanism in relation<br />

to typical linkage is presented in Fig. 2. First<br />

link, which is connected to <strong>excavator</strong> frame, is a result<br />

<strong>of</strong> homothetic to boom. The second link represents<br />

a bucket and an arm.<br />

As far as the <strong>excavator</strong> kinematics is concerned, the<br />

biggest energy saving effect has a <strong>system</strong> with boom<br />

cylinder which is connected to the main cylinder <strong>of</strong><br />

the <strong>counterweight</strong>. A static moment round the pin <strong>of</strong><br />

the boom and the pin <strong>of</strong> the first link <strong>of</strong> <strong>counterweight</strong><br />

allows calculated equation F o = k · F p . The connected<br />

hydraulic <strong>system</strong> should ensure velocity <strong>for</strong> <strong>counterweight</strong><br />

cylinder as the <strong>for</strong>mula shows v p = k · v o . The<br />

same goes <strong>for</strong> areas <strong>of</strong> cylinders A 1 = k · A 4 .<br />

In Fig. 3 the concept <strong>of</strong> hydraulic <strong>system</strong>s <strong>for</strong> connection<br />

<strong>excavator</strong> and <strong>active</strong> <strong>counterweight</strong> mechanisms<br />

is shown. It is the main part <strong>of</strong> the <strong>system</strong>. The<br />

similar scheme could be prepared <strong>for</strong> an arm and<br />

a second link <strong>of</strong> the <strong>counterweight</strong> cylinder.<br />

Conclusion<br />

The efficiency <strong>of</strong> an <strong>active</strong> <strong>counterweight</strong> <strong>system</strong><br />

requires a simulation verification and pro<strong>of</strong> test during<br />

the stand research. Presented hydraulic <strong>system</strong> does<br />

not change the functional properties <strong>of</strong> the <strong>excavator</strong><br />

and allows the operator to shut down the movable<br />

<strong>counterweight</strong> <strong>system</strong> when it is necessary (<strong>for</strong><br />

(2)<br />

Fig. 2. Structure <strong>of</strong> <strong>excavator</strong> with <strong>active</strong> <strong>counterweight</strong><br />

example while working as a lift). Taking into consideration<br />

the assumption about the movable <strong>counterweight</strong><br />

– the scale factor <strong>of</strong> homothetic trans<strong>for</strong>mation<br />

was determined k = 0,5. Value <strong>of</strong> this factor limits the<br />

group <strong>of</strong> machines in which an <strong>active</strong> <strong>counterweight</strong><br />

<strong>system</strong> could be applied to <strong>medium</strong> size <strong>excavator</strong>s.<br />

Fig. 3. <strong>Concept</strong> <strong>of</strong> main part hydraulic <strong>system</strong> with <strong>active</strong><br />

<strong>counterweight</strong>: 1 – boom cylinder, 2 – distribution valve 3/4,<br />

3 – relief valve, 4 – filter, 5 – pump, 6 – valve 2/2, 7 – main<br />

<strong>counterweight</strong> cylinder, 8 – hydro-pneumatic accumulator<br />

ROK WYD. LXVIII ZESZYT 7-8/2009 59


List <strong>of</strong> notations<br />

A 1 , A 2 , A 3 , A 4 – Area <strong>of</strong> piston and head side <strong>of</strong> each<br />

cylinder, m 2<br />

F o , F p – Boom and <strong>counterweight</strong> cylinder <strong>for</strong>ce, N<br />

K – Scale <strong>of</strong> homothetic trans<strong>for</strong>mation (k = m o /m P )<br />

m o , m P – Total mass <strong>of</strong> <strong>excavator</strong> linkage and <strong>counterweight</strong><br />

linkage, kg<br />

v o , v p – Linear velocity <strong>of</strong> boom and <strong>counterweight</strong><br />

cylinder, m/s<br />

x o , y o – Center <strong>of</strong> mass <strong>excavator</strong> linkage coordinates<br />

in point O, m<br />

x p , y p – Center <strong>of</strong> mass <strong>counterweight</strong> linkage coordinates<br />

in point P, m<br />

60<br />

REFERENCES<br />

1. Liang X., Virvalo T.: Energy reutilization and balance analysis<br />

in a hydraulic crane. IHA, Tampere University <strong>of</strong> Technology,<br />

2003.<br />

2. Cetinkunt S., Pinsopon U., Chen C., Egelja A., Anwar S.:<br />

Positive flow control <strong>of</strong> closed-centerelectrohydraulic implement-by-wire<br />

<strong>system</strong>s <strong>for</strong> mobile equipment applications.<br />

Mechatronics 14/2004, pp. 403 – 420.<br />

3. Qing X., Qingfeng W., Yanting Z.: Control strategies <strong>of</strong><br />

power <strong>system</strong> in hybrid hydraulic <strong>excavator</strong>. Automation in<br />

Construction 17/2008, pp. 361 – 367.<br />

4. Sobczyk A., Buczak G.: Hydraulic-mechanical energy saving<br />

<strong>system</strong> in cranes and tranportation equipment. Proc. Of<br />

4-th FPNI-PhD Symposium, Sarasota 2006, pp. 641 – 648.<br />

ROK WYD. LXVIII ZESZYT 7-8/2009

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