This is how a pendulum can swing in perpetuality. It's based on children playing in a playground. It has been discussed before in this forum. Certain details were missed.
 When a child swings on a swing, they lean back. This shifts the weight on the main fulcrum (B). As such, the swing moves forward. And when it slows or stops, they sit upright and the swing reverses direction. Don't tell this to scientists, they've over looked what children have known. It's a secret  :-D
 And when they get their swings moving the way they like, often higher than atributed to the net input of force which is ZERO, some interesting things can be observed.
 When they lean back, their arms create 2 points with the main fulcrum, or if a solid line is represented, it pivots. As they swing, they start moving upright, fulcrum A. And when they finish their ascent, they stay upright while swinging backwards. When they stop, they lean back again rising even more on the opposite side unless they go to high, then the chains become slack.
 A ratchet type mechanism can move the weight A to it's outward position on the downward swing. And with brown representing flexible lines, the drawing shows how what a child knows might be able to be replicated by adults.
 And in mechanics, on the backward swing, the weights A & B will move together (hopefully) and if fulcrum B carries both weights, it is okay.
 Initially, on the downward swing, the line for fulcrum A would need to be slack. this would allow for torque or what it is those kids know to work, any way, hopefully work for adults.
 
                                                                                  Jim
 
edited to add; Hope every one enjoys the coming Holidays  !!!  Au revoir, do sveedania, etc.

  @All,
 The basic idea is if you have a weight at  the bottom of a line, like on a swing, if another weight leans back,
it changes the center of gravity and pushes weight B forward. When weight A is lifted, it swings as a part of B.
If it is a little forward, then it helps to push weight B backwards. With something like this, it's start position would be at the top of it's swing in it's backward direction.
 By having a tab move into it's holder, weight A can pass it and when it swings down, can be reset.

                                                                                                              Jim                         

Jim

 But doesn't the second cable of the swing have a pull back on the whole system that created a negative effect?

  @All,
 This might simplify the idea. The pivot on fulcrum B can have weight C.
It's mass can equal A + B.
 If weight A has an antennae (for lack of a better term), a tab (pictured, like used on an umbrella) can restrict the downward movement of weight A. It slowly moves outward.
 It's potential would be relized by weights C & B. Then on the follow through (after bottom center), as weight B drops, it accelerates weight A, just slightly. This would align all 3 weights for the return swing.
 The nice part about weight C is that on the follow through, it's inertia would help move weights A & C. This would require weights A & B pivoting at weight C.
 Who knows, fulcrum A might not even be needed. Still, if used could make operation of the device simpler.
 
                                                                               Jim

Greetings Jim

 I still don't see you getting an advantage but good luck on it.  When dealing with acceleration of swinging. I would suggest watching kids on the playground swing. By dropping themselves and kicking out to accelerate.

  Hi Alan,
 As you know, I am engaged in learning the build process for what I consider to be Bessler's working wheel.
With this, there is one important thing to remember, work equals mass times distance. And it seems that torque is to be considered just the same.
 What this means is if someone tries to rotate a wheel using solid weights that they have to consider the distance the weights travel and their average position from center. That's to keep it simple. And using 4 weights as an example, the weights being lifted have to move close enough to the axle to travel less distance than those falling. A very difficult thing to do.
 With swinging weights, the efficiency increases. And as one weight drops, it can lift with no friction, a weight dropping can lift another weight the same height. While Bessler said he used 6 and 8 weights, he did not say on which wheel.
 With a wheel based on a pendulum type behavior, more than 2 weights can be used. But 2 weights might work best with the mechanics. And the best thing about something like this is people would believe that everything is rotating with the wheel. But as only the hands on a watch rotate, it would be the wheel and not it's mechanics that would be rotating. this would put people on the wrong trail from the word go. Thus they would never figure out Bessler's subterfuge.
 

                                                                                                                             Jim

latest from veljkomilkovic.com:


"Energy Globe Award" for Veljko Milkovic's Pendulum Pump
 
On November 25, in the Austrian city of Wales, the prestigious "Energy Globe" awards for the best global environmental projects were presented and this year's world and national winners were proclaimed. Veljko Milkovic’s innovation “Hand water pump with a pendulum“ was proclaimed national winner of “Energy Globe Award 2011“ for the Republic of Serbia.
 
 
On November 25, in the Austrian city of Wales, international foundation ENERGY GLOBE (www.energyglobe-foundation.com) traditionally rewarded projects which improve energy efficiency and renewable energy sources and presented the awards to international and national winners in its prestige Energy Globe Award (www.energyglobe.info). International foundation ENERGY GLOBE, based in Austria has been giving the most prestigious international award for environment preservation in the world since 1999. Among other things, ENERGY GLOBE award is intended for all the projects in the world which rationally, carefully and efficiently treat energy sources including renewable energy sources.
 
This year’s final ceremony was held in the Austrian energy city of Wales, in a beautiful setting of the trade fair and conference center "Messezentrum NEU” (www.messe-wels.com). Annual award "ENERGY GLOBE" was presented on a gala manifestation under the name “Olympics for our environment” which gathered representatives from over 40 countries, more than 1000 guests, top-ranking laudatory speakers and a huge crowd of press and television representatives. http://www.energyglobe.com/news/details/category/2/id/1823/

Almost 1,000 projects from 105 countries was participating for this year's award "Energy Globe" and from those who met the criteria of the international jury, the best project from each country was awarded the national "Energy Globe" award http://www.energyglobe.com/en/award/latest-winners/national-awards-wels-2011/ from which the top 15, divided into 5 categories (earth, fire, water, air, youth), were also nominated for global award "Energy Globe World Award 2011". http://www.energyglobe.com/en/award/latest-winners/nominees-world-award-2011/

International jury proclaimed “Hand water pump with a pendulum”, an invention by Serbian academician, researcher and inventor Veljko Milkovic (www.veljkomilkovic.com), the national winner in the Republic of Serbia for 2011 for his energy-saving technology for water supply and irrigation. http://www.pendulum-lever.com/pendulum-pump.html

a replica from YouTube...

1. two stage oscillator
http://www.youtube.com/watch?v=SFPcE248BHE

2. two stage oscillator escapement
http://www.youtube.com/watch?v=IdE-K7Twvvc

3. TSO half cog powering mechanism
http://www.youtube.com/watch?v=ywh_NLHk-FY
 

Merg

The link you posted (1. two stage oscillator ) I found it a bit funny for if he tries to get more swing by hand. It will go through the roof. LOL